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Finding the Third Proportional to 81,029,928 and 187,423,260

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Solution

The third proportional to 81,029,928 and 187,423,260 is: 433,512,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,029,928 : 187,423,260 = 187,423,260 : x
  2. Step 2: Convert to fraction form
    81,029,928/187,423,260 = 187,423,260/x
  3. Step 3: Cross multiply
    81,029,928x = 187,423,260 × 187,423,260
  4. Step 4: Simplify right side
    81,029,928x = 35,127,478,389,027,600
  5. Step 5: Solve for x
    x = 35,127,478,389,027,600/81,029,928
  6. Step 6: Final answer
    x = 433,512,397.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.