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Finding the Third Proportional to 338,292 and 729,471

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Solution

The third proportional to 338,292 and 729,471 is: 1,572,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,292 : 729,471 = 729,471 : x
  2. Step 2: Convert to fraction form
    338,292/729,471 = 729,471/x
  3. Step 3: Cross multiply
    338,292x = 729,471 × 729,471
  4. Step 4: Simplify right side
    338,292x = 532,127,939,841
  5. Step 5: Solve for x
    x = 532,127,939,841/338,292
  6. Step 6: Final answer
    x = 1,572,984.11

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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.