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Finding the Third Proportional to 138,542 and 301,348

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Solution

The third proportional to 138,542 and 301,348 is: 655,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,542 : 301,348 = 301,348 : x
  2. Step 2: Convert to fraction form
    138,542/301,348 = 301,348/x
  3. Step 3: Cross multiply
    138,542x = 301,348 × 301,348
  4. Step 4: Simplify right side
    138,542x = 90,810,617,104
  5. Step 5: Solve for x
    x = 90,810,617,104/138,542
  6. Step 6: Final answer
    x = 655,473.55

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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.