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Finding the Third Proportional to 69,319.50 and 147,855

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Solution

The third proportional to 69,319.50 and 147,855 is: 315,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,319.50 : 147,855 = 147,855 : x
  2. Step 2: Convert to fraction form
    69,319.50/147,855 = 147,855/x
  3. Step 3: Cross multiply
    69,319.50x = 147,855 × 147,855
  4. Step 4: Simplify right side
    69,319.50x = 21,861,101,025
  5. Step 5: Solve for x
    x = 21,861,101,025/69,319.50
  6. Step 6: Final answer
    x = 315,367.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.