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Finding the Third Proportional to 84,278,088,963 and 121,767,284,740.50

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Solution

The third proportional to 84,278,088,963 and 121,767,284,740.50 is: 175,932,698,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,278,088,963 : 121,767,284,740.50 = 121,767,284,740.50 : x
  2. Step 2: Convert to fraction form
    84,278,088,963/121,767,284,740.50 = 121,767,284,740.50/x
  3. Step 3: Cross multiply
    84,278,088,963x = 121,767,284,740.50 × 121,767,284,740.50
  4. Step 4: Simplify right side
    84,278,088,963x = 14,827,271,633,074,003,116,032
  5. Step 5: Solve for x
    x = 14,827,271,633,074,003,116,032/84,278,088,963
  6. Step 6: Final answer
    x = 175,932,698,706.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.