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Finding the Third Proportional to 123,540.19 and 268,135.31

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Solution

The third proportional to 123,540.19 and 268,135.31 is: 581,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,540.19 : 268,135.31 = 268,135.31 : x
  2. Step 2: Convert to fraction form
    123,540.19/268,135.31 = 268,135.31/x
  3. Step 3: Cross multiply
    123,540.19x = 268,135.31 × 268,135.31
  4. Step 4: Simplify right side
    123,540.19x = 71,896,545,809.47
  5. Step 5: Solve for x
    x = 71,896,545,809.47/123,540.19
  6. Step 6: Final answer
    x = 581,968.89

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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.