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Finding the Third Proportional to 69,389 and 148,616

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Solution

The third proportional to 69,389 and 148,616 is: 318,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,389 : 148,616 = 148,616 : x
  2. Step 2: Convert to fraction form
    69,389/148,616 = 148,616/x
  3. Step 3: Cross multiply
    69,389x = 148,616 × 148,616
  4. Step 4: Simplify right side
    69,389x = 22,086,715,456
  5. Step 5: Solve for x
    x = 22,086,715,456/69,389
  6. Step 6: Final answer
    x = 318,302.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.