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Finding the Third Proportional to 68,142 and 146,640

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Solution

The third proportional to 68,142 and 146,640 is: 315,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,142 : 146,640 = 146,640 : x
  2. Step 2: Convert to fraction form
    68,142/146,640 = 146,640/x
  3. Step 3: Cross multiply
    68,142x = 146,640 × 146,640
  4. Step 4: Simplify right side
    68,142x = 21,503,289,600
  5. Step 5: Solve for x
    x = 21,503,289,600/68,142
  6. Step 6: Final answer
    x = 315,565.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.