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Finding the Third Proportional to 399,507.75 and 538,260.75

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Solution

The third proportional to 399,507.75 and 538,260.75 is: 725,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,507.75 : 538,260.75 = 538,260.75 : x
  2. Step 2: Convert to fraction form
    399,507.75/538,260.75 = 538,260.75/x
  3. Step 3: Cross multiply
    399,507.75x = 538,260.75 × 538,260.75
  4. Step 4: Simplify right side
    399,507.75x = 289,724,634,990.56
  5. Step 5: Solve for x
    x = 289,724,634,990.56/399,507.75
  6. Step 6: Final answer
    x = 725,204.04

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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.