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Finding the Third Proportional to 68,672 and 103,344

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Solution

The third proportional to 68,672 and 103,344 is: 155,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,672 : 103,344 = 103,344 : x
  2. Step 2: Convert to fraction form
    68,672/103,344 = 103,344/x
  3. Step 3: Cross multiply
    68,672x = 103,344 × 103,344
  4. Step 4: Simplify right side
    68,672x = 10,679,982,336
  5. Step 5: Solve for x
    x = 10,679,982,336/68,672
  6. Step 6: Final answer
    x = 155,521.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.