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Finding the Third Proportional to 149,907 and 316,542

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Solution

The third proportional to 149,907 and 316,542 is: 668,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,907 : 316,542 = 316,542 : x
  2. Step 2: Convert to fraction form
    149,907/316,542 = 316,542/x
  3. Step 3: Cross multiply
    149,907x = 316,542 × 316,542
  4. Step 4: Simplify right side
    149,907x = 100,198,837,764
  5. Step 5: Solve for x
    x = 100,198,837,764/149,907
  6. Step 6: Final answer
    x = 668,406.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.