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Finding the Third Proportional to 131,694 and 289,644

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Solution

The third proportional to 131,694 and 289,644 is: 637,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,694 : 289,644 = 289,644 : x
  2. Step 2: Convert to fraction form
    131,694/289,644 = 289,644/x
  3. Step 3: Cross multiply
    131,694x = 289,644 × 289,644
  4. Step 4: Simplify right side
    131,694x = 83,893,646,736
  5. Step 5: Solve for x
    x = 83,893,646,736/131,694
  6. Step 6: Final answer
    x = 637,034.69

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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.