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Finding the Third Proportional to 424,382 and 576,699

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Solution

The third proportional to 424,382 and 576,699 is: 783,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,382 : 576,699 = 576,699 : x
  2. Step 2: Convert to fraction form
    424,382/576,699 = 576,699/x
  3. Step 3: Cross multiply
    424,382x = 576,699 × 576,699
  4. Step 4: Simplify right side
    424,382x = 332,581,736,601
  5. Step 5: Solve for x
    x = 332,581,736,601/424,382
  6. Step 6: Final answer
    x = 783,684.83

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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.