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Finding the Third Proportional to 82,571,481 and 123,849,208

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Solution

The third proportional to 82,571,481 and 123,849,208 is: 185,761,792.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,571,481 : 123,849,208 = 123,849,208 : x
  2. Step 2: Convert to fraction form
    82,571,481/123,849,208 = 123,849,208/x
  3. Step 3: Cross multiply
    82,571,481x = 123,849,208 × 123,849,208
  4. Step 4: Simplify right side
    82,571,481x = 15,338,626,322,227,264
  5. Step 5: Solve for x
    x = 15,338,626,322,227,264/82,571,481
  6. Step 6: Final answer
    x = 185,761,792.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.