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Finding the Third Proportional to 138,157 and 305,350

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Solution

The third proportional to 138,157 and 305,350 is: 674,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,157 : 305,350 = 305,350 : x
  2. Step 2: Convert to fraction form
    138,157/305,350 = 305,350/x
  3. Step 3: Cross multiply
    138,157x = 305,350 × 305,350
  4. Step 4: Simplify right side
    138,157x = 93,238,622,500
  5. Step 5: Solve for x
    x = 93,238,622,500/138,157
  6. Step 6: Final answer
    x = 674,874.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.