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Finding the Third Proportional to 386,481.38 and 577,945.13

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Solution

The third proportional to 386,481.38 and 577,945.13 is: 864,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,481.38 : 577,945.13 = 577,945.13 : x
  2. Step 2: Convert to fraction form
    386,481.38/577,945.13 = 577,945.13/x
  3. Step 3: Cross multiply
    386,481.38x = 577,945.13 × 577,945.13
  4. Step 4: Simplify right side
    386,481.38x = 334,020,567,511.27
  5. Step 5: Solve for x
    x = 334,020,567,511.27/386,481.38
  6. Step 6: Final answer
    x = 864,260.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.