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Finding the Third Proportional to 68,220 and 103,390

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Solution

The third proportional to 68,220 and 103,390 is: 156,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,220 : 103,390 = 103,390 : x
  2. Step 2: Convert to fraction form
    68,220/103,390 = 103,390/x
  3. Step 3: Cross multiply
    68,220x = 103,390 × 103,390
  4. Step 4: Simplify right side
    68,220x = 10,689,492,100
  5. Step 5: Solve for x
    x = 10,689,492,100/68,220
  6. Step 6: Final answer
    x = 156,691.47

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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.