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Finding the Third Proportional to 200,531 and 428,129.50

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Solution

The third proportional to 200,531 and 428,129.50 is: 914,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,531 : 428,129.50 = 428,129.50 : x
  2. Step 2: Convert to fraction form
    200,531/428,129.50 = 428,129.50/x
  3. Step 3: Cross multiply
    200,531x = 428,129.50 × 428,129.50
  4. Step 4: Simplify right side
    200,531x = 183,294,868,770.25
  5. Step 5: Solve for x
    x = 183,294,868,770.25/200,531
  6. Step 6: Final answer
    x = 914,047.55

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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.