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Finding the Third Proportional to 149,851 and 318,771

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Solution

The third proportional to 149,851 and 318,771 is: 678,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,851 : 318,771 = 318,771 : x
  2. Step 2: Convert to fraction form
    149,851/318,771 = 318,771/x
  3. Step 3: Cross multiply
    149,851x = 318,771 × 318,771
  4. Step 4: Simplify right side
    149,851x = 101,614,950,441
  5. Step 5: Solve for x
    x = 101,614,950,441/149,851
  6. Step 6: Final answer
    x = 678,106.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.