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Finding the Third Proportional to 554,400 and 858,096

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Solution

The third proportional to 554,400 and 858,096 is: 1,328,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,400 : 858,096 = 858,096 : x
  2. Step 2: Convert to fraction form
    554,400/858,096 = 858,096/x
  3. Step 3: Cross multiply
    554,400x = 858,096 × 858,096
  4. Step 4: Simplify right side
    554,400x = 736,328,745,216
  5. Step 5: Solve for x
    x = 736,328,745,216/554,400
  6. Step 6: Final answer
    x = 1,328,154.30

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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.