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Finding the Third Proportional to 268,378.31 and 578,791.13

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Solution

The third proportional to 268,378.31 and 578,791.13 is: 1,248,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,378.31 : 578,791.13 = 578,791.13 : x
  2. Step 2: Convert to fraction form
    268,378.31/578,791.13 = 578,791.13/x
  3. Step 3: Cross multiply
    268,378.31x = 578,791.13 × 578,791.13
  4. Step 4: Simplify right side
    268,378.31x = 334,999,166,378.77
  5. Step 5: Solve for x
    x = 334,999,166,378.77/268,378.31
  6. Step 6: Final answer
    x = 1,248,234.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.