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Finding the Third Proportional to 69,306 and 146,880

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Solution

The third proportional to 69,306 and 146,880 is: 311,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,306 : 146,880 = 146,880 : x
  2. Step 2: Convert to fraction form
    69,306/146,880 = 146,880/x
  3. Step 3: Cross multiply
    69,306x = 146,880 × 146,880
  4. Step 4: Simplify right side
    69,306x = 21,573,734,400
  5. Step 5: Solve for x
    x = 21,573,734,400/69,306
  6. Step 6: Final answer
    x = 311,282.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.