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Finding the Third Proportional to 112,438 and 240,815

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Solution

The third proportional to 112,438 and 240,815 is: 515,767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,438 : 240,815 = 240,815 : x
  2. Step 2: Convert to fraction form
    112,438/240,815 = 240,815/x
  3. Step 3: Cross multiply
    112,438x = 240,815 × 240,815
  4. Step 4: Simplify right side
    112,438x = 57,991,864,225
  5. Step 5: Solve for x
    x = 57,991,864,225/112,438
  6. Step 6: Final answer
    x = 515,767.48

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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.