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Finding the Third Proportional to 131,579 and 289,402

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Solution

The third proportional to 131,579 and 289,402 is: 636,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,579 : 289,402 = 289,402 : x
  2. Step 2: Convert to fraction form
    131,579/289,402 = 289,402/x
  3. Step 3: Cross multiply
    131,579x = 289,402 × 289,402
  4. Step 4: Simplify right side
    131,579x = 83,753,517,604
  5. Step 5: Solve for x
    x = 83,753,517,604/131,579
  6. Step 6: Final answer
    x = 636,526.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.