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Finding the Third Proportional to 60,157 and 68,905

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Solution

The third proportional to 60,157 and 68,905 is: 78,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,157 : 68,905 = 68,905 : x
  2. Step 2: Convert to fraction form
    60,157/68,905 = 68,905/x
  3. Step 3: Cross multiply
    60,157x = 68,905 × 68,905
  4. Step 4: Simplify right side
    60,157x = 4,747,899,025
  5. Step 5: Solve for x
    x = 4,747,899,025/60,157
  6. Step 6: Final answer
    x = 78,925.13

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.