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Finding the Third Proportional to 209,304 and 336,960

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Solution

The third proportional to 209,304 and 336,960 is: 542,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,304 : 336,960 = 336,960 : x
  2. Step 2: Convert to fraction form
    209,304/336,960 = 336,960/x
  3. Step 3: Cross multiply
    209,304x = 336,960 × 336,960
  4. Step 4: Simplify right side
    209,304x = 113,542,041,600
  5. Step 5: Solve for x
    x = 113,542,041,600/209,304
  6. Step 6: Final answer
    x = 542,474.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.