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Finding the Third Proportional to 358,879 and 782,959

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Solution

The third proportional to 358,879 and 782,959 is: 1,708,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,879 : 782,959 = 782,959 : x
  2. Step 2: Convert to fraction form
    358,879/782,959 = 782,959/x
  3. Step 3: Cross multiply
    358,879x = 782,959 × 782,959
  4. Step 4: Simplify right side
    358,879x = 613,024,795,681
  5. Step 5: Solve for x
    x = 613,024,795,681/358,879
  6. Step 6: Final answer
    x = 1,708,165.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.