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Finding the Third Proportional to 318,750 and 693,582

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Solution

The third proportional to 318,750 and 693,582 is: 1,509,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,750 : 693,582 = 693,582 : x
  2. Step 2: Convert to fraction form
    318,750/693,582 = 693,582/x
  3. Step 3: Cross multiply
    318,750x = 693,582 × 693,582
  4. Step 4: Simplify right side
    318,750x = 481,055,990,724
  5. Step 5: Solve for x
    x = 481,055,990,724/318,750
  6. Step 6: Final answer
    x = 1,509,195.27

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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.