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Finding the Third Proportional to 52,218 and 84,078

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Solution

The third proportional to 52,218 and 84,078 is: 135,376.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,218 : 84,078 = 84,078 : x
  2. Step 2: Convert to fraction form
    52,218/84,078 = 84,078/x
  3. Step 3: Cross multiply
    52,218x = 84,078 × 84,078
  4. Step 4: Simplify right side
    52,218x = 7,069,110,084
  5. Step 5: Solve for x
    x = 7,069,110,084/52,218
  6. Step 6: Final answer
    x = 135,376.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.