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Finding the Third Proportional to 42,543 and 93,780

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Solution

The third proportional to 42,543 and 93,780 is: 206,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,543 : 93,780 = 93,780 : x
  2. Step 2: Convert to fraction form
    42,543/93,780 = 93,780/x
  3. Step 3: Cross multiply
    42,543x = 93,780 × 93,780
  4. Step 4: Simplify right side
    42,543x = 8,794,688,400
  5. Step 5: Solve for x
    x = 8,794,688,400/42,543
  6. Step 6: Final answer
    x = 206,724.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.