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Finding the Third Proportional to 392,345.44 and 555,321.38

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Solution

The third proportional to 392,345.44 and 555,321.38 is: 785,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,345.44 : 555,321.38 = 555,321.38 : x
  2. Step 2: Convert to fraction form
    392,345.44/555,321.38 = 555,321.38/x
  3. Step 3: Cross multiply
    392,345.44x = 555,321.38 × 555,321.38
  4. Step 4: Simplify right side
    392,345.44x = 308,381,829,531.89
  5. Step 5: Solve for x
    x = 308,381,829,531.89/392,345.44
  6. Step 6: Final answer
    x = 785,995.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.