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Finding the Third Proportional to 69,512 and 148,866

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Solution

The third proportional to 69,512 and 148,866 is: 318,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,512 : 148,866 = 148,866 : x
  2. Step 2: Convert to fraction form
    69,512/148,866 = 148,866/x
  3. Step 3: Cross multiply
    69,512x = 148,866 × 148,866
  4. Step 4: Simplify right side
    69,512x = 22,161,085,956
  5. Step 5: Solve for x
    x = 22,161,085,956/69,512
  6. Step 6: Final answer
    x = 318,809.50

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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.