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Finding the Third Proportional to 138,277 and 301,582

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Solution

The third proportional to 138,277 and 301,582 is: 657,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,277 : 301,582 = 301,582 : x
  2. Step 2: Convert to fraction form
    138,277/301,582 = 301,582/x
  3. Step 3: Cross multiply
    138,277x = 301,582 × 301,582
  4. Step 4: Simplify right side
    138,277x = 90,951,702,724
  5. Step 5: Solve for x
    x = 90,951,702,724/138,277
  6. Step 6: Final answer
    x = 657,750.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.