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Finding the Third Proportional to 129,853.13 and 279,708.19

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Solution

The third proportional to 129,853.13 and 279,708.19 is: 602,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,853.13 : 279,708.19 = 279,708.19 : x
  2. Step 2: Convert to fraction form
    129,853.13/279,708.19 = 279,708.19/x
  3. Step 3: Cross multiply
    129,853.13x = 279,708.19 × 279,708.19
  4. Step 4: Simplify right side
    129,853.13x = 78,236,670,154.54
  5. Step 5: Solve for x
    x = 78,236,670,154.54/129,853.13
  6. Step 6: Final answer
    x = 602,501.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.