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Finding the Third Proportional to 424,400 and 576,726

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Solution

The third proportional to 424,400 and 576,726 is: 783,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,400 : 576,726 = 576,726 : x
  2. Step 2: Convert to fraction form
    424,400/576,726 = 576,726/x
  3. Step 3: Cross multiply
    424,400x = 576,726 × 576,726
  4. Step 4: Simplify right side
    424,400x = 332,612,879,076
  5. Step 5: Solve for x
    x = 332,612,879,076/424,400
  6. Step 6: Final answer
    x = 783,724.97

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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.