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Finding the Third Proportional to 140,659.88 and 299,770.88

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Solution

The third proportional to 140,659.88 and 299,770.88 is: 638,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,659.88 : 299,770.88 = 299,770.88 : x
  2. Step 2: Convert to fraction form
    140,659.88/299,770.88 = 299,770.88/x
  3. Step 3: Cross multiply
    140,659.88x = 299,770.88 × 299,770.88
  4. Step 4: Simplify right side
    140,659.88x = 89,862,577,498.27
  5. Step 5: Solve for x
    x = 89,862,577,498.27/140,659.88
  6. Step 6: Final answer
    x = 638,864.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.