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Finding the Third Proportional to 200,356 and 431,812

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Solution

The third proportional to 200,356 and 431,812 is: 930,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,356 : 431,812 = 431,812 : x
  2. Step 2: Convert to fraction form
    200,356/431,812 = 431,812/x
  3. Step 3: Cross multiply
    200,356x = 431,812 × 431,812
  4. Step 4: Simplify right side
    200,356x = 186,461,603,344
  5. Step 5: Solve for x
    x = 186,461,603,344/200,356
  6. Step 6: Final answer
    x = 930,651.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.