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Finding the Third Proportional to 84,104,260.88 and 122,963,369.63

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Solution

The third proportional to 84,104,260.88 and 122,963,369.63 is: 179,776,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,104,260.88 : 122,963,369.63 = 122,963,369.63 : x
  2. Step 2: Convert to fraction form
    84,104,260.88/122,963,369.63 = 122,963,369.63/x
  3. Step 3: Cross multiply
    84,104,260.88x = 122,963,369.63 × 122,963,369.63
  4. Step 4: Simplify right side
    84,104,260.88x = 15,119,990,269,534,372
  5. Step 5: Solve for x
    x = 15,119,990,269,534,372/84,104,260.88
  6. Step 6: Final answer
    x = 179,776,745.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.