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Finding the Third Proportional to 816,135 and 1,286,802

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Solution

The third proportional to 816,135 and 1,286,802 is: 2,028,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,135 : 1,286,802 = 1,286,802 : x
  2. Step 2: Convert to fraction form
    816,135/1,286,802 = 1,286,802/x
  3. Step 3: Cross multiply
    816,135x = 1,286,802 × 1,286,802
  4. Step 4: Simplify right side
    816,135x = 1,655,859,387,204
  5. Step 5: Solve for x
    x = 1,655,859,387,204/816,135
  6. Step 6: Final answer
    x = 2,028,903.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.