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Finding the Third Proportional to 396,669.75 and 872,071.13

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Solution

The third proportional to 396,669.75 and 872,071.13 is: 1,917,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,669.75 : 872,071.13 = 872,071.13 : x
  2. Step 2: Convert to fraction form
    396,669.75/872,071.13 = 872,071.13/x
  3. Step 3: Cross multiply
    396,669.75x = 872,071.13 × 872,071.13
  4. Step 4: Simplify right side
    396,669.75x = 760,508,047,058.77
  5. Step 5: Solve for x
    x = 760,508,047,058.77/396,669.75
  6. Step 6: Final answer
    x = 1,917,232.27

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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.