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Finding the Third Proportional to 119,328 and 259,684

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Solution

The third proportional to 119,328 and 259,684 is: 565,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,328 : 259,684 = 259,684 : x
  2. Step 2: Convert to fraction form
    119,328/259,684 = 259,684/x
  3. Step 3: Cross multiply
    119,328x = 259,684 × 259,684
  4. Step 4: Simplify right side
    119,328x = 67,435,779,856
  5. Step 5: Solve for x
    x = 67,435,779,856/119,328
  6. Step 6: Final answer
    x = 565,129.56

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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.