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Finding the Third Proportional to 68,228 and 103,402

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Solution

The third proportional to 68,228 and 103,402 is: 156,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,228 : 103,402 = 103,402 : x
  2. Step 2: Convert to fraction form
    68,228/103,402 = 103,402/x
  3. Step 3: Cross multiply
    68,228x = 103,402 × 103,402
  4. Step 4: Simplify right side
    68,228x = 10,691,973,604
  5. Step 5: Solve for x
    x = 10,691,973,604/68,228
  6. Step 6: Final answer
    x = 156,709.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.