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Finding the Third Proportional to 200,263 and 309,981

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Solution

The third proportional to 200,263 and 309,981 is: 479,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,263 : 309,981 = 309,981 : x
  2. Step 2: Convert to fraction form
    200,263/309,981 = 309,981/x
  3. Step 3: Cross multiply
    200,263x = 309,981 × 309,981
  4. Step 4: Simplify right side
    200,263x = 96,088,220,361
  5. Step 5: Solve for x
    x = 96,088,220,361/200,263
  6. Step 6: Final answer
    x = 479,810.15

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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.