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Finding the Third Proportional to 149,736 and 218,748

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Solution

The third proportional to 149,736 and 218,748 is: 319,567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,736 : 218,748 = 218,748 : x
  2. Step 2: Convert to fraction form
    149,736/218,748 = 218,748/x
  3. Step 3: Cross multiply
    149,736x = 218,748 × 218,748
  4. Step 4: Simplify right side
    149,736x = 47,850,687,504
  5. Step 5: Solve for x
    x = 47,850,687,504/149,736
  6. Step 6: Final answer
    x = 319,567.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.