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Finding the Third Proportional to 200,531 and 428,130

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Solution

The third proportional to 200,531 and 428,130 is: 914,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,531 : 428,130 = 428,130 : x
  2. Step 2: Convert to fraction form
    200,531/428,130 = 428,130/x
  3. Step 3: Cross multiply
    200,531x = 428,130 × 428,130
  4. Step 4: Simplify right side
    200,531x = 183,295,296,900
  5. Step 5: Solve for x
    x = 183,295,296,900/200,531
  6. Step 6: Final answer
    x = 914,049.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.