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Finding the Third Proportional to 146,220 and 318,884

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Solution

The third proportional to 146,220 and 318,884 is: 695,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,220 : 318,884 = 318,884 : x
  2. Step 2: Convert to fraction form
    146,220/318,884 = 318,884/x
  3. Step 3: Cross multiply
    146,220x = 318,884 × 318,884
  4. Step 4: Simplify right side
    146,220x = 101,687,005,456
  5. Step 5: Solve for x
    x = 101,687,005,456/146,220
  6. Step 6: Final answer
    x = 695,438.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.