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Finding the Third Proportional to 200,537 and 428,142

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Solution

The third proportional to 200,537 and 428,142 is: 914,073.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,537 : 428,142 = 428,142 : x
  2. Step 2: Convert to fraction form
    200,537/428,142 = 428,142/x
  3. Step 3: Cross multiply
    200,537x = 428,142 × 428,142
  4. Step 4: Simplify right side
    200,537x = 183,305,572,164
  5. Step 5: Solve for x
    x = 183,305,572,164/200,537
  6. Step 6: Final answer
    x = 914,073.57

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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.