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Finding the Third Proportional to 424,406 and 576,735

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Solution

The third proportional to 424,406 and 576,735 is: 783,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,406 : 576,735 = 576,735 : x
  2. Step 2: Convert to fraction form
    424,406/576,735 = 576,735/x
  3. Step 3: Cross multiply
    424,406x = 576,735 × 576,735
  4. Step 4: Simplify right side
    424,406x = 332,623,260,225
  5. Step 5: Solve for x
    x = 332,623,260,225/424,406
  6. Step 6: Final answer
    x = 783,738.35

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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.