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Finding the Third Proportional to 419,195.25 and 909,281.25

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Solution

The third proportional to 419,195.25 and 909,281.25 is: 1,972,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,195.25 : 909,281.25 = 909,281.25 : x
  2. Step 2: Convert to fraction form
    419,195.25/909,281.25 = 909,281.25/x
  3. Step 3: Cross multiply
    419,195.25x = 909,281.25 × 909,281.25
  4. Step 4: Simplify right side
    419,195.25x = 826,792,391,601.56
  5. Step 5: Solve for x
    x = 826,792,391,601.56/419,195.25
  6. Step 6: Final answer
    x = 1,972,332.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.