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Finding the Third Proportional to 438,846 and 655,398

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Solution

The third proportional to 438,846 and 655,398 is: 978,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,846 : 655,398 = 655,398 : x
  2. Step 2: Convert to fraction form
    438,846/655,398 = 655,398/x
  3. Step 3: Cross multiply
    438,846x = 655,398 × 655,398
  4. Step 4: Simplify right side
    438,846x = 429,546,538,404
  5. Step 5: Solve for x
    x = 429,546,538,404/438,846
  6. Step 6: Final answer
    x = 978,809.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.