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Finding the Third Proportional to 100,693.13 and 232,767.42

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Solution

The third proportional to 100,693.13 and 232,767.42 is: 538,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,693.13 : 232,767.42 = 232,767.42 : x
  2. Step 2: Convert to fraction form
    100,693.13/232,767.42 = 232,767.42/x
  3. Step 3: Cross multiply
    100,693.13x = 232,767.42 × 232,767.42
  4. Step 4: Simplify right side
    100,693.13x = 54,180,672,686.33
  5. Step 5: Solve for x
    x = 54,180,672,686.33/100,693.13
  6. Step 6: Final answer
    x = 538,077.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.