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Finding the Third Proportional to 68,739 and 103,291

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Solution

The third proportional to 68,739 and 103,291 is: 155,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,739 : 103,291 = 103,291 : x
  2. Step 2: Convert to fraction form
    68,739/103,291 = 103,291/x
  3. Step 3: Cross multiply
    68,739x = 103,291 × 103,291
  4. Step 4: Simplify right side
    68,739x = 10,669,030,681
  5. Step 5: Solve for x
    x = 10,669,030,681/68,739
  6. Step 6: Final answer
    x = 155,210.73

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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.