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Finding the Third Proportional to 131,559 and 289,361

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Solution

The third proportional to 131,559 and 289,361 is: 636,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,559 : 289,361 = 289,361 : x
  2. Step 2: Convert to fraction form
    131,559/289,361 = 289,361/x
  3. Step 3: Cross multiply
    131,559x = 289,361 × 289,361
  4. Step 4: Simplify right side
    131,559x = 83,729,788,321
  5. Step 5: Solve for x
    x = 83,729,788,321/131,559
  6. Step 6: Final answer
    x = 636,442.88

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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.