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Finding the Third Proportional to 131,394 and 289,029

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Solution

The third proportional to 131,394 and 289,029 is: 635,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,394 : 289,029 = 289,029 : x
  2. Step 2: Convert to fraction form
    131,394/289,029 = 289,029/x
  3. Step 3: Cross multiply
    131,394x = 289,029 × 289,029
  4. Step 4: Simplify right side
    131,394x = 83,537,762,841
  5. Step 5: Solve for x
    x = 83,537,762,841/131,394
  6. Step 6: Final answer
    x = 635,780.65

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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.