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Finding the Third Proportional to 109,469 and 235,687

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Solution

The third proportional to 109,469 and 235,687 is: 507,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,469 : 235,687 = 235,687 : x
  2. Step 2: Convert to fraction form
    109,469/235,687 = 235,687/x
  3. Step 3: Cross multiply
    109,469x = 235,687 × 235,687
  4. Step 4: Simplify right side
    109,469x = 55,548,361,969
  5. Step 5: Solve for x
    x = 55,548,361,969/109,469
  6. Step 6: Final answer
    x = 507,434.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.