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Finding the Third Proportional to 247,440 and 539,040

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Solution

The third proportional to 247,440 and 539,040 is: 1,174,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,440 : 539,040 = 539,040 : x
  2. Step 2: Convert to fraction form
    247,440/539,040 = 539,040/x
  3. Step 3: Cross multiply
    247,440x = 539,040 × 539,040
  4. Step 4: Simplify right side
    247,440x = 290,564,121,600
  5. Step 5: Solve for x
    x = 290,564,121,600/247,440
  6. Step 6: Final answer
    x = 1,174,281.13

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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.