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Finding the Third Proportional to 424,398 and 576,723

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Solution

The third proportional to 424,398 and 576,723 is: 783,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,398 : 576,723 = 576,723 : x
  2. Step 2: Convert to fraction form
    424,398/576,723 = 576,723/x
  3. Step 3: Cross multiply
    424,398x = 576,723 × 576,723
  4. Step 4: Simplify right side
    424,398x = 332,609,418,729
  5. Step 5: Solve for x
    x = 332,609,418,729/424,398
  6. Step 6: Final answer
    x = 783,720.51

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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.