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Finding the Third Proportional to 200,052 and 309,663

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Solution

The third proportional to 200,052 and 309,663 is: 479,331.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,052 : 309,663 = 309,663 : x
  2. Step 2: Convert to fraction form
    200,052/309,663 = 309,663/x
  3. Step 3: Cross multiply
    200,052x = 309,663 × 309,663
  4. Step 4: Simplify right side
    200,052x = 95,891,173,569
  5. Step 5: Solve for x
    x = 95,891,173,569/200,052
  6. Step 6: Final answer
    x = 479,331.24

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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.