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Finding the Third Proportional to 68,928 and 148,860

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Solution

The third proportional to 68,928 and 148,860 is: 321,484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,928 : 148,860 = 148,860 : x
  2. Step 2: Convert to fraction form
    68,928/148,860 = 148,860/x
  3. Step 3: Cross multiply
    68,928x = 148,860 × 148,860
  4. Step 4: Simplify right side
    68,928x = 22,159,299,600
  5. Step 5: Solve for x
    x = 22,159,299,600/68,928
  6. Step 6: Final answer
    x = 321,484.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.