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Finding the Third Proportional to 361,856 and 790,778

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Solution

The third proportional to 361,856 and 790,778 is: 1,728,117.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,856 : 790,778 = 790,778 : x
  2. Step 2: Convert to fraction form
    361,856/790,778 = 790,778/x
  3. Step 3: Cross multiply
    361,856x = 790,778 × 790,778
  4. Step 4: Simplify right side
    361,856x = 625,329,845,284
  5. Step 5: Solve for x
    x = 625,329,845,284/361,856
  6. Step 6: Final answer
    x = 1,728,117.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.