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Finding the Third Proportional to 129,451.88 and 174,897.56

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Solution

The third proportional to 129,451.88 and 174,897.56 is: 236,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,451.88 : 174,897.56 = 174,897.56 : x
  2. Step 2: Convert to fraction form
    129,451.88/174,897.56 = 174,897.56/x
  3. Step 3: Cross multiply
    129,451.88x = 174,897.56 × 174,897.56
  4. Step 4: Simplify right side
    129,451.88x = 30,589,157,368.44
  5. Step 5: Solve for x
    x = 30,589,157,368.44/129,451.88
  6. Step 6: Final answer
    x = 236,297.52

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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.