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Finding the Third Proportional to 155,866 and 340,898

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Solution

The third proportional to 155,866 and 340,898 is: 745,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,866 : 340,898 = 340,898 : x
  2. Step 2: Convert to fraction form
    155,866/340,898 = 340,898/x
  3. Step 3: Cross multiply
    155,866x = 340,898 × 340,898
  4. Step 4: Simplify right side
    155,866x = 116,211,446,404
  5. Step 5: Solve for x
    x = 116,211,446,404/155,866
  6. Step 6: Final answer
    x = 745,585.61

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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.