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Finding the Third Proportional to 129,987.75 and 281,298

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Solution

The third proportional to 129,987.75 and 281,298 is: 608,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,987.75 : 281,298 = 281,298 : x
  2. Step 2: Convert to fraction form
    129,987.75/281,298 = 281,298/x
  3. Step 3: Cross multiply
    129,987.75x = 281,298 × 281,298
  4. Step 4: Simplify right side
    129,987.75x = 79,128,564,804
  5. Step 5: Solve for x
    x = 79,128,564,804/129,987.75
  6. Step 6: Final answer
    x = 608,738.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.