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Finding the Third Proportional to 129,116.53 and 188,719.88

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Solution

The third proportional to 129,116.53 and 188,719.88 is: 275,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,116.53 : 188,719.88 = 188,719.88 : x
  2. Step 2: Convert to fraction form
    129,116.53/188,719.88 = 188,719.88/x
  3. Step 3: Cross multiply
    129,116.53x = 188,719.88 × 188,719.88
  4. Step 4: Simplify right side
    129,116.53x = 35,615,191,220.02
  5. Step 5: Solve for x
    x = 35,615,191,220.02/129,116.53
  6. Step 6: Final answer
    x = 275,837.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.