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Finding the Third Proportional to 112,890 and 245,217

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Solution

The third proportional to 112,890 and 245,217 is: 532,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,890 : 245,217 = 245,217 : x
  2. Step 2: Convert to fraction form
    112,890/245,217 = 245,217/x
  3. Step 3: Cross multiply
    112,890x = 245,217 × 245,217
  4. Step 4: Simplify right side
    112,890x = 60,131,377,089
  5. Step 5: Solve for x
    x = 60,131,377,089/112,890
  6. Step 6: Final answer
    x = 532,654.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.