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Finding the Third Proportional to 67,368 and 138,624

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Solution

The third proportional to 67,368 and 138,624 is: 285,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,368 : 138,624 = 138,624 : x
  2. Step 2: Convert to fraction form
    67,368/138,624 = 138,624/x
  3. Step 3: Cross multiply
    67,368x = 138,624 × 138,624
  4. Step 4: Simplify right side
    67,368x = 19,216,613,376
  5. Step 5: Solve for x
    x = 19,216,613,376/67,368
  6. Step 6: Final answer
    x = 285,248.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.