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Finding the Third Proportional to 78,543 and 171,747

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Solution

The third proportional to 78,543 and 171,747 is: 375,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,543 : 171,747 = 171,747 : x
  2. Step 2: Convert to fraction form
    78,543/171,747 = 171,747/x
  3. Step 3: Cross multiply
    78,543x = 171,747 × 171,747
  4. Step 4: Simplify right side
    78,543x = 29,497,032,009
  5. Step 5: Solve for x
    x = 29,497,032,009/78,543
  6. Step 6: Final answer
    x = 375,552.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.