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Finding the Third Proportional to 52,546 and 111,908

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Solution

The third proportional to 52,546 and 111,908 is: 238,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,546 : 111,908 = 111,908 : x
  2. Step 2: Convert to fraction form
    52,546/111,908 = 111,908/x
  3. Step 3: Cross multiply
    52,546x = 111,908 × 111,908
  4. Step 4: Simplify right side
    52,546x = 12,523,400,464
  5. Step 5: Solve for x
    x = 12,523,400,464/52,546
  6. Step 6: Final answer
    x = 238,332.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.