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Finding the Third Proportional to 68,565 and 103,578

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Solution

The third proportional to 68,565 and 103,578 is: 156,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,565 : 103,578 = 103,578 : x
  2. Step 2: Convert to fraction form
    68,565/103,578 = 103,578/x
  3. Step 3: Cross multiply
    68,565x = 103,578 × 103,578
  4. Step 4: Simplify right side
    68,565x = 10,728,402,084
  5. Step 5: Solve for x
    x = 10,728,402,084/68,565
  6. Step 6: Final answer
    x = 156,470.53

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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.