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Finding the Third Proportional to 200,266 and 300,438

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Solution

The third proportional to 200,266 and 300,438 is: 450,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,266 : 300,438 = 300,438 : x
  2. Step 2: Convert to fraction form
    200,266/300,438 = 300,438/x
  3. Step 3: Cross multiply
    200,266x = 300,438 × 300,438
  4. Step 4: Simplify right side
    200,266x = 90,262,991,844
  5. Step 5: Solve for x
    x = 90,262,991,844/200,266
  6. Step 6: Final answer
    x = 450,715.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.