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Finding the Third Proportional to 48,486 and 72,780

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Solution

The third proportional to 48,486 and 72,780 is: 109,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,486 : 72,780 = 72,780 : x
  2. Step 2: Convert to fraction form
    48,486/72,780 = 72,780/x
  3. Step 3: Cross multiply
    48,486x = 72,780 × 72,780
  4. Step 4: Simplify right side
    48,486x = 5,296,928,400
  5. Step 5: Solve for x
    x = 5,296,928,400/48,486
  6. Step 6: Final answer
    x = 109,246.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.