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Finding the Third Proportional to 395,260 and 878,948

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Solution

The third proportional to 395,260 and 878,948 is: 1,954,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,260 : 878,948 = 878,948 : x
  2. Step 2: Convert to fraction form
    395,260/878,948 = 878,948/x
  3. Step 3: Cross multiply
    395,260x = 878,948 × 878,948
  4. Step 4: Simplify right side
    395,260x = 772,549,586,704
  5. Step 5: Solve for x
    x = 772,549,586,704/395,260
  6. Step 6: Final answer
    x = 1,954,535.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.