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Finding the Third Proportional to 393,834.75 and 611,002.88

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Solution

The third proportional to 393,834.75 and 611,002.88 is: 947,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,834.75 : 611,002.88 = 611,002.88 : x
  2. Step 2: Convert to fraction form
    393,834.75/611,002.88 = 611,002.88/x
  3. Step 3: Cross multiply
    393,834.75x = 611,002.88 × 611,002.88
  4. Step 4: Simplify right side
    393,834.75x = 373,324,513,258.27
  5. Step 5: Solve for x
    x = 373,324,513,258.27/393,834.75
  6. Step 6: Final answer
    x = 947,921.72

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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.