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Finding the Third Proportional to 129,458.25 and 174,907.13

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Solution

The third proportional to 129,458.25 and 174,907.13 is: 236,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,458.25 : 174,907.13 = 174,907.13 : x
  2. Step 2: Convert to fraction form
    129,458.25/174,907.13 = 174,907.13/x
  3. Step 3: Cross multiply
    129,458.25x = 174,907.13 × 174,907.13
  4. Step 4: Simplify right side
    129,458.25x = 30,592,502,375.77
  5. Step 5: Solve for x
    x = 30,592,502,375.77/129,458.25
  6. Step 6: Final answer
    x = 236,311.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.