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Finding the Third Proportional to 498,701 and 747,858

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Solution

The third proportional to 498,701 and 747,858 is: 1,121,496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,701 : 747,858 = 747,858 : x
  2. Step 2: Convert to fraction form
    498,701/747,858 = 747,858/x
  3. Step 3: Cross multiply
    498,701x = 747,858 × 747,858
  4. Step 4: Simplify right side
    498,701x = 559,291,588,164
  5. Step 5: Solve for x
    x = 559,291,588,164/498,701
  6. Step 6: Final answer
    x = 1,121,496.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.