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Finding the Third Proportional to 247,396 and 539,720

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Solution

The third proportional to 247,396 and 539,720 is: 1,177,455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,396 : 539,720 = 539,720 : x
  2. Step 2: Convert to fraction form
    247,396/539,720 = 539,720/x
  3. Step 3: Cross multiply
    247,396x = 539,720 × 539,720
  4. Step 4: Simplify right side
    247,396x = 291,297,678,400
  5. Step 5: Solve for x
    x = 291,297,678,400/247,396
  6. Step 6: Final answer
    x = 1,177,455.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.