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Finding the Third Proportional to 102,418 and 209,755

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Solution

The third proportional to 102,418 and 209,755 is: 429,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,418 : 209,755 = 209,755 : x
  2. Step 2: Convert to fraction form
    102,418/209,755 = 209,755/x
  3. Step 3: Cross multiply
    102,418x = 209,755 × 209,755
  4. Step 4: Simplify right side
    102,418x = 43,997,160,025
  5. Step 5: Solve for x
    x = 43,997,160,025/102,418
  6. Step 6: Final answer
    x = 429,584.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.