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Finding the Third Proportional to 809,155.83 and 1,215,809.68

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Solution

The third proportional to 809,155.83 and 1,215,809.68 is: 1,826,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,155.83 : 1,215,809.68 = 1,215,809.68 : x
  2. Step 2: Convert to fraction form
    809,155.83/1,215,809.68 = 1,215,809.68/x
  3. Step 3: Cross multiply
    809,155.83x = 1,215,809.68 × 1,215,809.68
  4. Step 4: Simplify right side
    809,155.83x = 1,478,193,186,720.46
  5. Step 5: Solve for x
    x = 1,478,193,186,720.46/809,155.83
  6. Step 6: Final answer
    x = 1,826,833.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.