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Finding the Third Proportional to 394,036.88 and 624,043.13

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Solution

The third proportional to 394,036.88 and 624,043.13 is: 988,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,036.88 : 624,043.13 = 624,043.13 : x
  2. Step 2: Convert to fraction form
    394,036.88/624,043.13 = 624,043.13/x
  3. Step 3: Cross multiply
    394,036.88x = 624,043.13 × 624,043.13
  4. Step 4: Simplify right side
    394,036.88x = 389,429,821,859.77
  5. Step 5: Solve for x
    x = 389,429,821,859.77/394,036.88
  6. Step 6: Final answer
    x = 988,308.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.