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Finding the Third Proportional to 108,613 and 232,413

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Solution

The third proportional to 108,613 and 232,413 is: 497,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,613 : 232,413 = 232,413 : x
  2. Step 2: Convert to fraction form
    108,613/232,413 = 232,413/x
  3. Step 3: Cross multiply
    108,613x = 232,413 × 232,413
  4. Step 4: Simplify right side
    108,613x = 54,015,802,569
  5. Step 5: Solve for x
    x = 54,015,802,569/108,613
  6. Step 6: Final answer
    x = 497,323.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.