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Finding the Third Proportional to 818,641.69 and 1,288,107.56

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Solution

The third proportional to 818,641.69 and 1,288,107.56 is: 2,026,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,641.69 : 1,288,107.56 = 1,288,107.56 : x
  2. Step 2: Convert to fraction form
    818,641.69/1,288,107.56 = 1,288,107.56/x
  3. Step 3: Cross multiply
    818,641.69x = 1,288,107.56 × 1,288,107.56
  4. Step 4: Simplify right side
    818,641.69x = 1,659,221,092,569.69
  5. Step 5: Solve for x
    x = 1,659,221,092,569.69/818,641.69
  6. Step 6: Final answer
    x = 2,026,797.70

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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.