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Finding the Third Proportional to 131,594 and 289,427

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Solution

The third proportional to 131,594 and 289,427 is: 636,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,594 : 289,427 = 289,427 : x
  2. Step 2: Convert to fraction form
    131,594/289,427 = 289,427/x
  3. Step 3: Cross multiply
    131,594x = 289,427 × 289,427
  4. Step 4: Simplify right side
    131,594x = 83,767,988,329
  5. Step 5: Solve for x
    x = 83,767,988,329/131,594
  6. Step 6: Final answer
    x = 636,563.89

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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.