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Finding the Third Proportional to 399,913.88 and 613,235.81

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Solution

The third proportional to 399,913.88 and 613,235.81 is: 940,347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,913.88 : 613,235.81 = 613,235.81 : x
  2. Step 2: Convert to fraction form
    399,913.88/613,235.81 = 613,235.81/x
  3. Step 3: Cross multiply
    399,913.88x = 613,235.81 × 613,235.81
  4. Step 4: Simplify right side
    399,913.88x = 376,058,161,732.54
  5. Step 5: Solve for x
    x = 376,058,161,732.54/399,913.88
  6. Step 6: Final answer
    x = 940,347.87

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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.