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Finding the Third Proportional to 68,451 and 147,123

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Solution

The third proportional to 68,451 and 147,123 is: 316,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,451 : 147,123 = 147,123 : x
  2. Step 2: Convert to fraction form
    68,451/147,123 = 147,123/x
  3. Step 3: Cross multiply
    68,451x = 147,123 × 147,123
  4. Step 4: Simplify right side
    68,451x = 21,645,177,129
  5. Step 5: Solve for x
    x = 21,645,177,129/68,451
  6. Step 6: Final answer
    x = 316,214.18

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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.