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Finding the Third Proportional to 817,268 and 1,268,670

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Solution

The third proportional to 817,268 and 1,268,670 is: 1,969,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,268 : 1,268,670 = 1,268,670 : x
  2. Step 2: Convert to fraction form
    817,268/1,268,670 = 1,268,670/x
  3. Step 3: Cross multiply
    817,268x = 1,268,670 × 1,268,670
  4. Step 4: Simplify right side
    817,268x = 1,609,523,568,900
  5. Step 5: Solve for x
    x = 1,609,523,568,900/817,268
  6. Step 6: Final answer
    x = 1,969,395.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.