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Finding the Third Proportional to 247,055 and 539,289

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Solution

The third proportional to 247,055 and 539,289 is: 1,177,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,055 : 539,289 = 539,289 : x
  2. Step 2: Convert to fraction form
    247,055/539,289 = 539,289/x
  3. Step 3: Cross multiply
    247,055x = 539,289 × 539,289
  4. Step 4: Simplify right side
    247,055x = 290,832,625,521
  5. Step 5: Solve for x
    x = 290,832,625,521/247,055
  6. Step 6: Final answer
    x = 1,177,197.89

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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.