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Finding the Third Proportional to 768,405.87 and 1,686,279.52

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Solution

The third proportional to 768,405.87 and 1,686,279.52 is: 3,700,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,405.87 : 1,686,279.52 = 1,686,279.52 : x
  2. Step 2: Convert to fraction form
    768,405.87/1,686,279.52 = 1,686,279.52/x
  3. Step 3: Cross multiply
    768,405.87x = 1,686,279.52 × 1,686,279.52
  4. Step 4: Simplify right side
    768,405.87x = 2,843,538,604,816.48
  5. Step 5: Solve for x
    x = 2,843,538,604,816.48/768,405.87
  6. Step 6: Final answer
    x = 3,700,568.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.