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Finding the Third Proportional to 239,166 and 520,371

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Solution

The third proportional to 239,166 and 520,371 is: 1,132,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,166 : 520,371 = 520,371 : x
  2. Step 2: Convert to fraction form
    239,166/520,371 = 520,371/x
  3. Step 3: Cross multiply
    239,166x = 520,371 × 520,371
  4. Step 4: Simplify right side
    239,166x = 270,785,977,641
  5. Step 5: Solve for x
    x = 270,785,977,641/239,166
  6. Step 6: Final answer
    x = 1,132,209.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.