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Finding the Third Proportional to 131,588 and 289,420

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Solution

The third proportional to 131,588 and 289,420 is: 636,562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,588 : 289,420 = 289,420 : x
  2. Step 2: Convert to fraction form
    131,588/289,420 = 289,420/x
  3. Step 3: Cross multiply
    131,588x = 289,420 × 289,420
  4. Step 4: Simplify right side
    131,588x = 83,763,936,400
  5. Step 5: Solve for x
    x = 83,763,936,400/131,588
  6. Step 6: Final answer
    x = 636,562.12

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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.