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Finding the Third Proportional to 424,408 and 576,738

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Solution

The third proportional to 424,408 and 576,738 is: 783,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,408 : 576,738 = 576,738 : x
  2. Step 2: Convert to fraction form
    424,408/576,738 = 576,738/x
  3. Step 3: Cross multiply
    424,408x = 576,738 × 576,738
  4. Step 4: Simplify right side
    424,408x = 332,626,720,644
  5. Step 5: Solve for x
    x = 332,626,720,644/424,408
  6. Step 6: Final answer
    x = 783,742.82

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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.