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Finding the Third Proportional to 318,660 and 693,516

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Solution

The third proportional to 318,660 and 693,516 is: 1,509,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,660 : 693,516 = 693,516 : x
  2. Step 2: Convert to fraction form
    318,660/693,516 = 693,516/x
  3. Step 3: Cross multiply
    318,660x = 693,516 × 693,516
  4. Step 4: Simplify right side
    318,660x = 480,964,442,256
  5. Step 5: Solve for x
    x = 480,964,442,256/318,660
  6. Step 6: Final answer
    x = 1,509,334.22

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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.