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Finding the Third Proportional to 491,605 and 747,670

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Solution

The third proportional to 491,605 and 747,670 is: 1,137,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,605 : 747,670 = 747,670 : x
  2. Step 2: Convert to fraction form
    491,605/747,670 = 747,670/x
  3. Step 3: Cross multiply
    491,605x = 747,670 × 747,670
  4. Step 4: Simplify right side
    491,605x = 559,010,428,900
  5. Step 5: Solve for x
    x = 559,010,428,900/491,605
  6. Step 6: Final answer
    x = 1,137,112.98

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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.