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Finding the Third Proportional to 78,764 and 171,352

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Solution

The third proportional to 78,764 and 171,352 is: 372,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,764 : 171,352 = 171,352 : x
  2. Step 2: Convert to fraction form
    78,764/171,352 = 171,352/x
  3. Step 3: Cross multiply
    78,764x = 171,352 × 171,352
  4. Step 4: Simplify right side
    78,764x = 29,361,507,904
  5. Step 5: Solve for x
    x = 29,361,507,904/78,764
  6. Step 6: Final answer
    x = 372,778.27

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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.