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Finding the Third Proportional to 68,860 and 147,764

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Solution

The third proportional to 68,860 and 147,764 is: 317,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,860 : 147,764 = 147,764 : x
  2. Step 2: Convert to fraction form
    68,860/147,764 = 147,764/x
  3. Step 3: Cross multiply
    68,860x = 147,764 × 147,764
  4. Step 4: Simplify right side
    68,860x = 21,834,199,696
  5. Step 5: Solve for x
    x = 21,834,199,696/68,860
  6. Step 6: Final answer
    x = 317,081.03

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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.