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Finding the Third Proportional to 138,958 and 299,350

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Solution

The third proportional to 138,958 and 299,350 is: 644,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,958 : 299,350 = 299,350 : x
  2. Step 2: Convert to fraction form
    138,958/299,350 = 299,350/x
  3. Step 3: Cross multiply
    138,958x = 299,350 × 299,350
  4. Step 4: Simplify right side
    138,958x = 89,610,422,500
  5. Step 5: Solve for x
    x = 89,610,422,500/138,958
  6. Step 6: Final answer
    x = 644,874.15

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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.