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Finding the Third Proportional to 247,138 and 539,580

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Solution

The third proportional to 247,138 and 539,580 is: 1,178,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,138 : 539,580 = 539,580 : x
  2. Step 2: Convert to fraction form
    247,138/539,580 = 539,580/x
  3. Step 3: Cross multiply
    247,138x = 539,580 × 539,580
  4. Step 4: Simplify right side
    247,138x = 291,146,576,400
  5. Step 5: Solve for x
    x = 291,146,576,400/247,138
  6. Step 6: Final answer
    x = 1,178,072.88

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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.