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Finding the Third Proportional to 129,098.25 and 279,644.63

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Solution

The third proportional to 129,098.25 and 279,644.63 is: 605,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,098.25 : 279,644.63 = 279,644.63 : x
  2. Step 2: Convert to fraction form
    129,098.25/279,644.63 = 279,644.63/x
  3. Step 3: Cross multiply
    129,098.25x = 279,644.63 × 279,644.63
  4. Step 4: Simplify right side
    129,098.25x = 78,201,116,291.39
  5. Step 5: Solve for x
    x = 78,201,116,291.39/129,098.25
  6. Step 6: Final answer
    x = 605,748.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.