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Finding the Third Proportional to 318,792 and 693,663

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Solution

The third proportional to 318,792 and 693,663 is: 1,509,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,792 : 693,663 = 693,663 : x
  2. Step 2: Convert to fraction form
    318,792/693,663 = 693,663/x
  3. Step 3: Cross multiply
    318,792x = 693,663 × 693,663
  4. Step 4: Simplify right side
    318,792x = 481,168,357,569
  5. Step 5: Solve for x
    x = 481,168,357,569/318,792
  6. Step 6: Final answer
    x = 1,509,348.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.