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Finding the Third Proportional to 69,478 and 146,612

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Solution

The third proportional to 69,478 and 146,612 is: 309,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,478 : 146,612 = 146,612 : x
  2. Step 2: Convert to fraction form
    69,478/146,612 = 146,612/x
  3. Step 3: Cross multiply
    69,478x = 146,612 × 146,612
  4. Step 4: Simplify right side
    69,478x = 21,495,078,544
  5. Step 5: Solve for x
    x = 21,495,078,544/69,478
  6. Step 6: Final answer
    x = 309,379.64

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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.