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Finding the Third Proportional to 68,285 and 103,386

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Solution

The third proportional to 68,285 and 103,386 is: 156,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,285 : 103,386 = 103,386 : x
  2. Step 2: Convert to fraction form
    68,285/103,386 = 103,386/x
  3. Step 3: Cross multiply
    68,285x = 103,386 × 103,386
  4. Step 4: Simplify right side
    68,285x = 10,688,664,996
  5. Step 5: Solve for x
    x = 10,688,664,996/68,285
  6. Step 6: Final answer
    x = 156,530.20

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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.