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Finding the Third Proportional to 78,896 and 172,534

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Solution

The third proportional to 78,896 and 172,534 is: 377,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,896 : 172,534 = 172,534 : x
  2. Step 2: Convert to fraction form
    78,896/172,534 = 172,534/x
  3. Step 3: Cross multiply
    78,896x = 172,534 × 172,534
  4. Step 4: Simplify right side
    78,896x = 29,767,981,156
  5. Step 5: Solve for x
    x = 29,767,981,156/78,896
  6. Step 6: Final answer
    x = 377,306.60

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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.