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Finding the Third Proportional to 399,902.06 and 613,215.56

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Solution

The third proportional to 399,902.06 and 613,215.56 is: 940,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,902.06 : 613,215.56 = 613,215.56 : x
  2. Step 2: Convert to fraction form
    399,902.06/613,215.56 = 613,215.56/x
  3. Step 3: Cross multiply
    399,902.06x = 613,215.56 × 613,215.56
  4. Step 4: Simplify right side
    399,902.06x = 376,033,326,092.19
  5. Step 5: Solve for x
    x = 376,033,326,092.19/399,902.06
  6. Step 6: Final answer
    x = 940,313.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.