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Finding the Third Proportional to 399,509.72 and 538,265.25

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Solution

The third proportional to 399,509.72 and 538,265.25 is: 725,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,509.72 : 538,265.25 = 538,265.25 : x
  2. Step 2: Convert to fraction form
    399,509.72/538,265.25 = 538,265.25/x
  3. Step 3: Cross multiply
    399,509.72x = 538,265.25 × 538,265.25
  4. Step 4: Simplify right side
    399,509.72x = 289,729,479,357.56
  5. Step 5: Solve for x
    x = 289,729,479,357.56/399,509.72
  6. Step 6: Final answer
    x = 725,212.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.