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Finding the Third Proportional to 819,438 and 1,285,458

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Solution

The third proportional to 819,438 and 1,285,458 is: 2,016,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,438 : 1,285,458 = 1,285,458 : x
  2. Step 2: Convert to fraction form
    819,438/1,285,458 = 1,285,458/x
  3. Step 3: Cross multiply
    819,438x = 1,285,458 × 1,285,458
  4. Step 4: Simplify right side
    819,438x = 1,652,402,269,764
  5. Step 5: Solve for x
    x = 1,652,402,269,764/819,438
  6. Step 6: Final answer
    x = 2,016,506.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.