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Finding the Third Proportional to 336,718 and 739,856

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Solution

The third proportional to 336,718 and 739,856 is: 1,625,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,718 : 739,856 = 739,856 : x
  2. Step 2: Convert to fraction form
    336,718/739,856 = 739,856/x
  3. Step 3: Cross multiply
    336,718x = 739,856 × 739,856
  4. Step 4: Simplify right side
    336,718x = 547,386,900,736
  5. Step 5: Solve for x
    x = 547,386,900,736/336,718
  6. Step 6: Final answer
    x = 1,625,653.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.