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Finding the Third Proportional to 396,868 and 872,752

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Solution

The third proportional to 396,868 and 872,752 is: 1,919,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,868 : 872,752 = 872,752 : x
  2. Step 2: Convert to fraction form
    396,868/872,752 = 872,752/x
  3. Step 3: Cross multiply
    396,868x = 872,752 × 872,752
  4. Step 4: Simplify right side
    396,868x = 761,696,053,504
  5. Step 5: Solve for x
    x = 761,696,053,504/396,868
  6. Step 6: Final answer
    x = 1,919,268.00

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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.