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Finding the Third Proportional to 78,818 and 172,952

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Solution

The third proportional to 78,818 and 172,952 is: 379,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,818 : 172,952 = 172,952 : x
  2. Step 2: Convert to fraction form
    78,818/172,952 = 172,952/x
  3. Step 3: Cross multiply
    78,818x = 172,952 × 172,952
  4. Step 4: Simplify right side
    78,818x = 29,912,394,304
  5. Step 5: Solve for x
    x = 29,912,394,304/78,818
  6. Step 6: Final answer
    x = 379,512.22

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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.