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Finding the Third Proportional to 146,940 and 318,810

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Solution

The third proportional to 146,940 and 318,810 is: 691,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,940 : 318,810 = 318,810 : x
  2. Step 2: Convert to fraction form
    146,940/318,810 = 318,810/x
  3. Step 3: Cross multiply
    146,940x = 318,810 × 318,810
  4. Step 4: Simplify right side
    146,940x = 101,639,816,100
  5. Step 5: Solve for x
    x = 101,639,816,100/146,940
  6. Step 6: Final answer
    x = 691,709.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.