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Finding the Third Proportional to 98,745 and 209,259

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Solution

The third proportional to 98,745 and 209,259 is: 443,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,745 : 209,259 = 209,259 : x
  2. Step 2: Convert to fraction form
    98,745/209,259 = 209,259/x
  3. Step 3: Cross multiply
    98,745x = 209,259 × 209,259
  4. Step 4: Simplify right side
    98,745x = 43,789,329,081
  5. Step 5: Solve for x
    x = 43,789,329,081/98,745
  6. Step 6: Final answer
    x = 443,458.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.