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Finding the Third Proportional to 68,482 and 142,340

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Solution

The third proportional to 68,482 and 142,340 is: 295,854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,482 : 142,340 = 142,340 : x
  2. Step 2: Convert to fraction form
    68,482/142,340 = 142,340/x
  3. Step 3: Cross multiply
    68,482x = 142,340 × 142,340
  4. Step 4: Simplify right side
    68,482x = 20,260,675,600
  5. Step 5: Solve for x
    x = 20,260,675,600/68,482
  6. Step 6: Final answer
    x = 295,854.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.