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Finding the Third Proportional to 71,864 and 151,169

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Solution

The third proportional to 71,864 and 151,169 is: 317,990.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,864 : 151,169 = 151,169 : x
  2. Step 2: Convert to fraction form
    71,864/151,169 = 151,169/x
  3. Step 3: Cross multiply
    71,864x = 151,169 × 151,169
  4. Step 4: Simplify right side
    71,864x = 22,852,066,561
  5. Step 5: Solve for x
    x = 22,852,066,561/71,864
  6. Step 6: Final answer
    x = 317,990.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.