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Finding the Third Proportional to 422,792 and 563,628

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Solution

The third proportional to 422,792 and 563,628 is: 751,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,792 : 563,628 = 563,628 : x
  2. Step 2: Convert to fraction form
    422,792/563,628 = 563,628/x
  3. Step 3: Cross multiply
    422,792x = 563,628 × 563,628
  4. Step 4: Simplify right side
    422,792x = 317,676,522,384
  5. Step 5: Solve for x
    x = 317,676,522,384/422,792
  6. Step 6: Final answer
    x = 751,377.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.