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Finding the Third Proportional to 408,729.80 and 601,561.69

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Solution

The third proportional to 408,729.80 and 601,561.69 is: 885,368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,729.80 : 601,561.69 = 601,561.69 : x
  2. Step 2: Convert to fraction form
    408,729.80/601,561.69 = 601,561.69/x
  3. Step 3: Cross multiply
    408,729.80x = 601,561.69 × 601,561.69
  4. Step 4: Simplify right side
    408,729.80x = 361,876,463,867.85
  5. Step 5: Solve for x
    x = 361,876,463,867.85/408,729.80
  6. Step 6: Final answer
    x = 885,368.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.