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Finding the Third Proportional to 187,029 and 398,489

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Solution

The third proportional to 187,029 and 398,489 is: 849,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,029 : 398,489 = 398,489 : x
  2. Step 2: Convert to fraction form
    187,029/398,489 = 398,489/x
  3. Step 3: Cross multiply
    187,029x = 398,489 × 398,489
  4. Step 4: Simplify right side
    187,029x = 158,793,483,121
  5. Step 5: Solve for x
    x = 158,793,483,121/187,029
  6. Step 6: Final answer
    x = 849,031.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.