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Finding the Third Proportional to 68,712 and 103,228

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Solution

The third proportional to 68,712 and 103,228 is: 155,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,712 : 103,228 = 103,228 : x
  2. Step 2: Convert to fraction form
    68,712/103,228 = 103,228/x
  3. Step 3: Cross multiply
    68,712x = 103,228 × 103,228
  4. Step 4: Simplify right side
    68,712x = 10,656,019,984
  5. Step 5: Solve for x
    x = 10,656,019,984/68,712
  6. Step 6: Final answer
    x = 155,082.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.