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Finding the Third Proportional to 138,474 and 301,248

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Solution

The third proportional to 138,474 and 301,248 is: 655,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,474 : 301,248 = 301,248 : x
  2. Step 2: Convert to fraction form
    138,474/301,248 = 301,248/x
  3. Step 3: Cross multiply
    138,474x = 301,248 × 301,248
  4. Step 4: Simplify right side
    138,474x = 90,750,357,504
  5. Step 5: Solve for x
    x = 90,750,357,504/138,474
  6. Step 6: Final answer
    x = 655,360.27

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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.