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Finding the Third Proportional to 69,516 and 146,684

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Solution

The third proportional to 69,516 and 146,684 is: 309,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,516 : 146,684 = 146,684 : x
  2. Step 2: Convert to fraction form
    69,516/146,684 = 146,684/x
  3. Step 3: Cross multiply
    69,516x = 146,684 × 146,684
  4. Step 4: Simplify right side
    69,516x = 21,516,195,856
  5. Step 5: Solve for x
    x = 21,516,195,856/69,516
  6. Step 6: Final answer
    x = 309,514.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.