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Finding the Third Proportional to 68,400 and 141,290

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Solution

The third proportional to 68,400 and 141,290 is: 291,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,400 : 141,290 = 141,290 : x
  2. Step 2: Convert to fraction form
    68,400/141,290 = 141,290/x
  3. Step 3: Cross multiply
    68,400x = 141,290 × 141,290
  4. Step 4: Simplify right side
    68,400x = 19,962,864,100
  5. Step 5: Solve for x
    x = 19,962,864,100/68,400
  6. Step 6: Final answer
    x = 291,854.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.