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Finding the Third Proportional to 200,981 and 431,101

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Solution

The third proportional to 200,981 and 431,101 is: 924,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,981 : 431,101 = 431,101 : x
  2. Step 2: Convert to fraction form
    200,981/431,101 = 431,101/x
  3. Step 3: Cross multiply
    200,981x = 431,101 × 431,101
  4. Step 4: Simplify right side
    200,981x = 185,848,072,201
  5. Step 5: Solve for x
    x = 185,848,072,201/200,981
  6. Step 6: Final answer
    x = 924,704.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.