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Finding the Third Proportional to 334,990 and 454,890

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Solution

The third proportional to 334,990 and 454,890 is: 617,704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,990 : 454,890 = 454,890 : x
  2. Step 2: Convert to fraction form
    334,990/454,890 = 454,890/x
  3. Step 3: Cross multiply
    334,990x = 454,890 × 454,890
  4. Step 4: Simplify right side
    334,990x = 206,924,912,100
  5. Step 5: Solve for x
    x = 206,924,912,100/334,990
  6. Step 6: Final answer
    x = 617,704.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.