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Finding the Third Proportional to 140,708 and 299,868

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Solution

The third proportional to 140,708 and 299,868 is: 639,059.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,708 : 299,868 = 299,868 : x
  2. Step 2: Convert to fraction form
    140,708/299,868 = 299,868/x
  3. Step 3: Cross multiply
    140,708x = 299,868 × 299,868
  4. Step 4: Simplify right side
    140,708x = 89,920,817,424
  5. Step 5: Solve for x
    x = 89,920,817,424/140,708
  6. Step 6: Final answer
    x = 639,059.74

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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.