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Finding the Third Proportional to 68,588 and 103,742

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Solution

The third proportional to 68,588 and 103,742 is: 156,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,588 : 103,742 = 103,742 : x
  2. Step 2: Convert to fraction form
    68,588/103,742 = 103,742/x
  3. Step 3: Cross multiply
    68,588x = 103,742 × 103,742
  4. Step 4: Simplify right side
    68,588x = 10,762,402,564
  5. Step 5: Solve for x
    x = 10,762,402,564/68,588
  6. Step 6: Final answer
    x = 156,913.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.