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Finding the Third Proportional to 686,758.50 and 1,661,482.13

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Solution

The third proportional to 686,758.50 and 1,661,482.13 is: 4,019,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,758.50 : 1,661,482.13 = 1,661,482.13 : x
  2. Step 2: Convert to fraction form
    686,758.50/1,661,482.13 = 1,661,482.13/x
  3. Step 3: Cross multiply
    686,758.50x = 1,661,482.13 × 1,661,482.13
  4. Step 4: Simplify right side
    686,758.50x = 2,760,522,851,694.52
  5. Step 5: Solve for x
    x = 2,760,522,851,694.52/686,758.50
  6. Step 6: Final answer
    x = 4,019,641.33

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.