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Finding the Third Proportional to 129,422.25 and 265,116.38

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Solution

The third proportional to 129,422.25 and 265,116.38 is: 543,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,422.25 : 265,116.38 = 265,116.38 : x
  2. Step 2: Convert to fraction form
    129,422.25/265,116.38 = 265,116.38/x
  3. Step 3: Cross multiply
    129,422.25x = 265,116.38 × 265,116.38
  4. Step 4: Simplify right side
    129,422.25x = 70,286,692,293.14
  5. Step 5: Solve for x
    x = 70,286,692,293.14/129,422.25
  6. Step 6: Final answer
    x = 543,080.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.