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Finding the Third Proportional to 68,857 and 147,758

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Solution

The third proportional to 68,857 and 147,758 is: 317,069.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,857 : 147,758 = 147,758 : x
  2. Step 2: Convert to fraction form
    68,857/147,758 = 147,758/x
  3. Step 3: Cross multiply
    68,857x = 147,758 × 147,758
  4. Step 4: Simplify right side
    68,857x = 21,832,426,564
  5. Step 5: Solve for x
    x = 21,832,426,564/68,857
  6. Step 6: Final answer
    x = 317,069.09

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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.