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Finding the Third Proportional to 202,032 and 313,686

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Solution

The third proportional to 202,032 and 313,686 is: 487,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,032 : 313,686 = 313,686 : x
  2. Step 2: Convert to fraction form
    202,032/313,686 = 313,686/x
  3. Step 3: Cross multiply
    202,032x = 313,686 × 313,686
  4. Step 4: Simplify right side
    202,032x = 98,398,906,596
  5. Step 5: Solve for x
    x = 98,398,906,596/202,032
  6. Step 6: Final answer
    x = 487,046.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.