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Finding the Third Proportional to 309,918 and 471,060

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Solution

The third proportional to 309,918 and 471,060 is: 715,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,918 : 471,060 = 471,060 : x
  2. Step 2: Convert to fraction form
    309,918/471,060 = 471,060/x
  3. Step 3: Cross multiply
    309,918x = 471,060 × 471,060
  4. Step 4: Simplify right side
    309,918x = 221,897,523,600
  5. Step 5: Solve for x
    x = 221,897,523,600/309,918
  6. Step 6: Final answer
    x = 715,987.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.