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Finding the Third Proportional to 398,240 and 859,816

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Solution

The third proportional to 398,240 and 859,816 is: 1,856,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,240 : 859,816 = 859,816 : x
  2. Step 2: Convert to fraction form
    398,240/859,816 = 859,816/x
  3. Step 3: Cross multiply
    398,240x = 859,816 × 859,816
  4. Step 4: Simplify right side
    398,240x = 739,283,553,856
  5. Step 5: Solve for x
    x = 739,283,553,856/398,240
  6. Step 6: Final answer
    x = 1,856,376.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.