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Finding the Third Proportional to 131,557 and 289,357

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Solution

The third proportional to 131,557 and 289,357 is: 636,434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,557 : 289,357 = 289,357 : x
  2. Step 2: Convert to fraction form
    131,557/289,357 = 289,357/x
  3. Step 3: Cross multiply
    131,557x = 289,357 × 289,357
  4. Step 4: Simplify right side
    131,557x = 83,727,473,449
  5. Step 5: Solve for x
    x = 83,727,473,449/131,557
  6. Step 6: Final answer
    x = 636,434.96

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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.