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Finding the Third Proportional to 108,568.50 and 232,710

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Solution

The third proportional to 108,568.50 and 232,710 is: 498,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,568.50 : 232,710 = 232,710 : x
  2. Step 2: Convert to fraction form
    108,568.50/232,710 = 232,710/x
  3. Step 3: Cross multiply
    108,568.50x = 232,710 × 232,710
  4. Step 4: Simplify right side
    108,568.50x = 54,153,944,100
  5. Step 5: Solve for x
    x = 54,153,944,100/108,568.50
  6. Step 6: Final answer
    x = 498,799.78

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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.