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Finding the Third Proportional to 111,229 and 239,953

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Solution

The third proportional to 111,229 and 239,953 is: 517,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,229 : 239,953 = 239,953 : x
  2. Step 2: Convert to fraction form
    111,229/239,953 = 239,953/x
  3. Step 3: Cross multiply
    111,229x = 239,953 × 239,953
  4. Step 4: Simplify right side
    111,229x = 57,577,442,209
  5. Step 5: Solve for x
    x = 57,577,442,209/111,229
  6. Step 6: Final answer
    x = 517,647.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.