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Finding the Third Proportional to 129,987 and 282,195

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Solution

The third proportional to 129,987 and 282,195 is: 612,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,987 : 282,195 = 282,195 : x
  2. Step 2: Convert to fraction form
    129,987/282,195 = 282,195/x
  3. Step 3: Cross multiply
    129,987x = 282,195 × 282,195
  4. Step 4: Simplify right side
    129,987x = 79,634,018,025
  5. Step 5: Solve for x
    x = 79,634,018,025/129,987
  6. Step 6: Final answer
    x = 612,630.63

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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.