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Finding the Third Proportional to 410,394 and 655,623

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Solution

The third proportional to 410,394 and 655,623 is: 1,047,387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,394 : 655,623 = 655,623 : x
  2. Step 2: Convert to fraction form
    410,394/655,623 = 655,623/x
  3. Step 3: Cross multiply
    410,394x = 655,623 × 655,623
  4. Step 4: Simplify right side
    410,394x = 429,841,518,129
  5. Step 5: Solve for x
    x = 429,841,518,129/410,394
  6. Step 6: Final answer
    x = 1,047,387.43

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.