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Finding the Third Proportional to 131,600 and 289,436

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Solution

The third proportional to 131,600 and 289,436 is: 636,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,600 : 289,436 = 289,436 : x
  2. Step 2: Convert to fraction form
    131,600/289,436 = 289,436/x
  3. Step 3: Cross multiply
    131,600x = 289,436 × 289,436
  4. Step 4: Simplify right side
    131,600x = 83,773,198,096
  5. Step 5: Solve for x
    x = 83,773,198,096/131,600
  6. Step 6: Final answer
    x = 636,574.45

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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.