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Finding the Third Proportional to 108,609.50 and 232,406

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Solution

The third proportional to 108,609.50 and 232,406 is: 497,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,609.50 : 232,406 = 232,406 : x
  2. Step 2: Convert to fraction form
    108,609.50/232,406 = 232,406/x
  3. Step 3: Cross multiply
    108,609.50x = 232,406 × 232,406
  4. Step 4: Simplify right side
    108,609.50x = 54,012,548,836
  5. Step 5: Solve for x
    x = 54,012,548,836/108,609.50
  6. Step 6: Final answer
    x = 497,309.62

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