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Finding the Third Proportional to 52,850 and 113,080

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Solution

The third proportional to 52,850 and 113,080 is: 241,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,850 : 113,080 = 113,080 : x
  2. Step 2: Convert to fraction form
    52,850/113,080 = 113,080/x
  3. Step 3: Cross multiply
    52,850x = 113,080 × 113,080
  4. Step 4: Simplify right side
    52,850x = 12,787,086,400
  5. Step 5: Solve for x
    x = 12,787,086,400/52,850
  6. Step 6: Final answer
    x = 241,950.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.