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Finding the Third Proportional to 393,890 and 611,068

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Solution

The third proportional to 393,890 and 611,068 is: 947,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,890 : 611,068 = 611,068 : x
  2. Step 2: Convert to fraction form
    393,890/611,068 = 611,068/x
  3. Step 3: Cross multiply
    393,890x = 611,068 × 611,068
  4. Step 4: Simplify right side
    393,890x = 373,404,100,624
  5. Step 5: Solve for x
    x = 373,404,100,624/393,890
  6. Step 6: Final answer
    x = 947,990.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.