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Finding the Third Proportional to 200,442 and 431,985

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Solution

The third proportional to 200,442 and 431,985 is: 930,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,442 : 431,985 = 431,985 : x
  2. Step 2: Convert to fraction form
    200,442/431,985 = 431,985/x
  3. Step 3: Cross multiply
    200,442x = 431,985 × 431,985
  4. Step 4: Simplify right side
    200,442x = 186,611,040,225
  5. Step 5: Solve for x
    x = 186,611,040,225/200,442
  6. Step 6: Final answer
    x = 930,997.70

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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.