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Finding the Third Proportional to 179,972 and 387,188

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Solution

The third proportional to 179,972 and 387,188 is: 832,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,972 : 387,188 = 387,188 : x
  2. Step 2: Convert to fraction form
    179,972/387,188 = 387,188/x
  3. Step 3: Cross multiply
    179,972x = 387,188 × 387,188
  4. Step 4: Simplify right side
    179,972x = 149,914,547,344
  5. Step 5: Solve for x
    x = 149,914,547,344/179,972
  6. Step 6: Final answer
    x = 832,988.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.