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Finding the Third Proportional to 71,412 and 169,188

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Solution

The third proportional to 71,412 and 169,188 is: 400,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,412 : 169,188 = 169,188 : x
  2. Step 2: Convert to fraction form
    71,412/169,188 = 169,188/x
  3. Step 3: Cross multiply
    71,412x = 169,188 × 169,188
  4. Step 4: Simplify right side
    71,412x = 28,624,579,344
  5. Step 5: Solve for x
    x = 28,624,579,344/71,412
  6. Step 6: Final answer
    x = 400,837.11

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.