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Finding the Third Proportional to 47,128 and 68,154

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Solution

The third proportional to 47,128 and 68,154 is: 98,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,128 : 68,154 = 68,154 : x
  2. Step 2: Convert to fraction form
    47,128/68,154 = 68,154/x
  3. Step 3: Cross multiply
    47,128x = 68,154 × 68,154
  4. Step 4: Simplify right side
    47,128x = 4,644,967,716
  5. Step 5: Solve for x
    x = 4,644,967,716/47,128
  6. Step 6: Final answer
    x = 98,560.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.