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Finding the Third Proportional to 424,400 and 576,724

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Solution

The third proportional to 424,400 and 576,724 is: 783,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,400 : 576,724 = 576,724 : x
  2. Step 2: Convert to fraction form
    424,400/576,724 = 576,724/x
  3. Step 3: Cross multiply
    424,400x = 576,724 × 576,724
  4. Step 4: Simplify right side
    424,400x = 332,610,572,176
  5. Step 5: Solve for x
    x = 332,610,572,176/424,400
  6. Step 6: Final answer
    x = 783,719.54

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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.