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Finding the Third Proportional to 115,142 and 247,780

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Solution

The third proportional to 115,142 and 247,780 is: 533,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,142 : 247,780 = 247,780 : x
  2. Step 2: Convert to fraction form
    115,142/247,780 = 247,780/x
  3. Step 3: Cross multiply
    115,142x = 247,780 × 247,780
  4. Step 4: Simplify right side
    115,142x = 61,394,928,400
  5. Step 5: Solve for x
    x = 61,394,928,400/115,142
  6. Step 6: Final answer
    x = 533,210.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.