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Finding the Third Proportional to 31,812,142.50 and 68,646,168

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Solution

The third proportional to 31,812,142.50 and 68,646,168 is: 148,128,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812,142.50 : 68,646,168 = 68,646,168 : x
  2. Step 2: Convert to fraction form
    31,812,142.50/68,646,168 = 68,646,168/x
  3. Step 3: Cross multiply
    31,812,142.50x = 68,646,168 × 68,646,168
  4. Step 4: Simplify right side
    31,812,142.50x = 4,712,296,381,084,224
  5. Step 5: Solve for x
    x = 4,712,296,381,084,224/31,812,142.50
  6. Step 6: Final answer
    x = 148,128,859.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.