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Finding the Third Proportional to 68,374 and 147,683

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Solution

The third proportional to 68,374 and 147,683 is: 318,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,374 : 147,683 = 147,683 : x
  2. Step 2: Convert to fraction form
    68,374/147,683 = 147,683/x
  3. Step 3: Cross multiply
    68,374x = 147,683 × 147,683
  4. Step 4: Simplify right side
    68,374x = 21,810,268,489
  5. Step 5: Solve for x
    x = 21,810,268,489/68,374
  6. Step 6: Final answer
    x = 318,984.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.