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Finding the Third Proportional to 155,856 and 340,868

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Solution

The third proportional to 155,856 and 340,868 is: 745,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,856 : 340,868 = 340,868 : x
  2. Step 2: Convert to fraction form
    155,856/340,868 = 340,868/x
  3. Step 3: Cross multiply
    155,856x = 340,868 × 340,868
  4. Step 4: Simplify right side
    155,856x = 116,190,993,424
  5. Step 5: Solve for x
    x = 116,190,993,424/155,856
  6. Step 6: Final answer
    x = 745,502.22

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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.