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Finding the Third Proportional to 265,986.28 and 399,036.38

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Solution

The third proportional to 265,986.28 and 399,036.38 is: 598,640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,986.28 : 399,036.38 = 399,036.38 : x
  2. Step 2: Convert to fraction form
    265,986.28/399,036.38 = 399,036.38/x
  3. Step 3: Cross multiply
    265,986.28x = 399,036.38 × 399,036.38
  4. Step 4: Simplify right side
    265,986.28x = 159,230,028,573.14
  5. Step 5: Solve for x
    x = 159,230,028,573.14/265,986.28
  6. Step 6: Final answer
    x = 598,640.00

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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.