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Finding the Third Proportional to 247,121 and 539,561.50

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Solution

The third proportional to 247,121 and 539,561.50 is: 1,178,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,121 : 539,561.50 = 539,561.50 : x
  2. Step 2: Convert to fraction form
    247,121/539,561.50 = 539,561.50/x
  3. Step 3: Cross multiply
    247,121x = 539,561.50 × 539,561.50
  4. Step 4: Simplify right side
    247,121x = 291,126,612,282.25
  5. Step 5: Solve for x
    x = 291,126,612,282.25/247,121
  6. Step 6: Final answer
    x = 1,178,073.14

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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.