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Finding the Third Proportional to 816,131.25 and 1,286,797.50

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Solution

The third proportional to 816,131.25 and 1,286,797.50 is: 2,028,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,131.25 : 1,286,797.50 = 1,286,797.50 : x
  2. Step 2: Convert to fraction form
    816,131.25/1,286,797.50 = 1,286,797.50/x
  3. Step 3: Cross multiply
    816,131.25x = 1,286,797.50 × 1,286,797.50
  4. Step 4: Simplify right side
    816,131.25x = 1,655,847,806,006.25
  5. Step 5: Solve for x
    x = 1,655,847,806,006.25/816,131.25
  6. Step 6: Final answer
    x = 2,028,898.91

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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.