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Finding the Third Proportional to 68,486 and 147,157

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Solution

The third proportional to 68,486 and 147,157 is: 316,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,486 : 147,157 = 147,157 : x
  2. Step 2: Convert to fraction form
    68,486/147,157 = 147,157/x
  3. Step 3: Cross multiply
    68,486x = 147,157 × 147,157
  4. Step 4: Simplify right side
    68,486x = 21,655,182,649
  5. Step 5: Solve for x
    x = 21,655,182,649/68,486
  6. Step 6: Final answer
    x = 316,198.68

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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.