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Finding the Third Proportional to 131,590 and 289,422

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Solution

The third proportional to 131,590 and 289,422 is: 636,561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,590 : 289,422 = 289,422 : x
  2. Step 2: Convert to fraction form
    131,590/289,422 = 289,422/x
  3. Step 3: Cross multiply
    131,590x = 289,422 × 289,422
  4. Step 4: Simplify right side
    131,590x = 83,765,094,084
  5. Step 5: Solve for x
    x = 83,765,094,084/131,590
  6. Step 6: Final answer
    x = 636,561.24

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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.