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Finding the Third Proportional to 416,902.50 and 909,078.75

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Solution

The third proportional to 416,902.50 and 909,078.75 is: 1,982,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,902.50 : 909,078.75 = 909,078.75 : x
  2. Step 2: Convert to fraction form
    416,902.50/909,078.75 = 909,078.75/x
  3. Step 3: Cross multiply
    416,902.50x = 909,078.75 × 909,078.75
  4. Step 4: Simplify right side
    416,902.50x = 826,424,173,701.56
  5. Step 5: Solve for x
    x = 826,424,173,701.56/416,902.50
  6. Step 6: Final answer
    x = 1,982,296.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.