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Finding the Third Proportional to 419,834.39 and 632,775.80

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Solution

The third proportional to 419,834.39 and 632,775.80 is: 953,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,834.39 : 632,775.80 = 632,775.80 : x
  2. Step 2: Convert to fraction form
    419,834.39/632,775.80 = 632,775.80/x
  3. Step 3: Cross multiply
    419,834.39x = 632,775.80 × 632,775.80
  4. Step 4: Simplify right side
    419,834.39x = 400,405,209,110.79
  5. Step 5: Solve for x
    x = 400,405,209,110.79/419,834.39
  6. Step 6: Final answer
    x = 953,721.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.