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Finding the Third Proportional to 207,147.38 and 319,879.13

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Solution

The third proportional to 207,147.38 and 319,879.13 is: 493,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,147.38 : 319,879.13 = 319,879.13 : x
  2. Step 2: Convert to fraction form
    207,147.38/319,879.13 = 319,879.13/x
  3. Step 3: Cross multiply
    207,147.38x = 319,879.13 × 319,879.13
  4. Step 4: Simplify right side
    207,147.38x = 102,322,654,610.77
  5. Step 5: Solve for x
    x = 102,322,654,610.77/207,147.38
  6. Step 6: Final answer
    x = 493,960.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.