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Finding the Third Proportional to 129,888 and 176,012

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Solution

The third proportional to 129,888 and 176,012 is: 238,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,888 : 176,012 = 176,012 : x
  2. Step 2: Convert to fraction form
    129,888/176,012 = 176,012/x
  3. Step 3: Cross multiply
    129,888x = 176,012 × 176,012
  4. Step 4: Simplify right side
    129,888x = 30,980,224,144
  5. Step 5: Solve for x
    x = 30,980,224,144/129,888
  6. Step 6: Final answer
    x = 238,514.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.