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Finding the Third Proportional to 396,650 and 872,032

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Solution

The third proportional to 396,650 and 872,032 is: 1,917,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,650 : 872,032 = 872,032 : x
  2. Step 2: Convert to fraction form
    396,650/872,032 = 872,032/x
  3. Step 3: Cross multiply
    396,650x = 872,032 × 872,032
  4. Step 4: Simplify right side
    396,650x = 760,439,809,024
  5. Step 5: Solve for x
    x = 760,439,809,024/396,650
  6. Step 6: Final answer
    x = 1,917,155.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.