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Finding the Third Proportional to 206,498 and 424,113

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Solution

The third proportional to 206,498 and 424,113 is: 871,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,498 : 424,113 = 424,113 : x
  2. Step 2: Convert to fraction form
    206,498/424,113 = 424,113/x
  3. Step 3: Cross multiply
    206,498x = 424,113 × 424,113
  4. Step 4: Simplify right side
    206,498x = 179,871,836,769
  5. Step 5: Solve for x
    x = 179,871,836,769/206,498
  6. Step 6: Final answer
    x = 871,058.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.