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Finding the Third Proportional to 108,469 and 235,389

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Solution

The third proportional to 108,469 and 235,389 is: 510,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,469 : 235,389 = 235,389 : x
  2. Step 2: Convert to fraction form
    108,469/235,389 = 235,389/x
  3. Step 3: Cross multiply
    108,469x = 235,389 × 235,389
  4. Step 4: Simplify right side
    108,469x = 55,407,981,321
  5. Step 5: Solve for x
    x = 55,407,981,321/108,469
  6. Step 6: Final answer
    x = 510,818.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.