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Finding the Third Proportional to 318,528 and 667,728

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Solution

The third proportional to 318,528 and 667,728 is: 1,399,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,528 : 667,728 = 667,728 : x
  2. Step 2: Convert to fraction form
    318,528/667,728 = 667,728/x
  3. Step 3: Cross multiply
    318,528x = 667,728 × 667,728
  4. Step 4: Simplify right side
    318,528x = 445,860,681,984
  5. Step 5: Solve for x
    x = 445,860,681,984/318,528
  6. Step 6: Final answer
    x = 1,399,753.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.