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Finding the Third Proportional to 52,880 and 110,948

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Solution

The third proportional to 52,880 and 110,948 is: 232,780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,880 : 110,948 = 110,948 : x
  2. Step 2: Convert to fraction form
    52,880/110,948 = 110,948/x
  3. Step 3: Cross multiply
    52,880x = 110,948 × 110,948
  4. Step 4: Simplify right side
    52,880x = 12,309,458,704
  5. Step 5: Solve for x
    x = 12,309,458,704/52,880
  6. Step 6: Final answer
    x = 232,780.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.