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Finding the Third Proportional to 414,569 and 878,959

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Solution

The third proportional to 414,569 and 878,959 is: 1,863,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,569 : 878,959 = 878,959 : x
  2. Step 2: Convert to fraction form
    414,569/878,959 = 878,959/x
  3. Step 3: Cross multiply
    414,569x = 878,959 × 878,959
  4. Step 4: Simplify right side
    414,569x = 772,568,923,681
  5. Step 5: Solve for x
    x = 772,568,923,681/414,569
  6. Step 6: Final answer
    x = 1,863,547.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.