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Finding the Third Proportional to 68,708 and 146,416

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Solution

The third proportional to 68,708 and 146,416 is: 312,010.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,708 : 146,416 = 146,416 : x
  2. Step 2: Convert to fraction form
    68,708/146,416 = 146,416/x
  3. Step 3: Cross multiply
    68,708x = 146,416 × 146,416
  4. Step 4: Simplify right side
    68,708x = 21,437,645,056
  5. Step 5: Solve for x
    x = 21,437,645,056/68,708
  6. Step 6: Final answer
    x = 312,010.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.