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Finding the Third Proportional to 252,531 and 512,109

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Solution

The third proportional to 252,531 and 512,109 is: 1,038,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,531 : 512,109 = 512,109 : x
  2. Step 2: Convert to fraction form
    252,531/512,109 = 512,109/x
  3. Step 3: Cross multiply
    252,531x = 512,109 × 512,109
  4. Step 4: Simplify right side
    252,531x = 262,255,627,881
  5. Step 5: Solve for x
    x = 262,255,627,881/252,531
  6. Step 6: Final answer
    x = 1,038,508.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.