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Finding the Third Proportional to 202,911 and 315,418

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Solution

The third proportional to 202,911 and 315,418 is: 490,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,911 : 315,418 = 315,418 : x
  2. Step 2: Convert to fraction form
    202,911/315,418 = 315,418/x
  3. Step 3: Cross multiply
    202,911x = 315,418 × 315,418
  4. Step 4: Simplify right side
    202,911x = 99,488,514,724
  5. Step 5: Solve for x
    x = 99,488,514,724/202,911
  6. Step 6: Final answer
    x = 490,306.17

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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.