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Finding the Third Proportional to 338,249 and 729,382

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Solution

The third proportional to 338,249 and 729,382 is: 1,572,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,249 : 729,382 = 729,382 : x
  2. Step 2: Convert to fraction form
    338,249/729,382 = 729,382/x
  3. Step 3: Cross multiply
    338,249x = 729,382 × 729,382
  4. Step 4: Simplify right side
    338,249x = 531,998,101,924
  5. Step 5: Solve for x
    x = 531,998,101,924/338,249
  6. Step 6: Final answer
    x = 1,572,800.22

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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.