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Finding the Third Proportional to 30,144 and 65,649

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Solution

The third proportional to 30,144 and 65,649 is: 142,973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144 : 65,649 = 65,649 : x
  2. Step 2: Convert to fraction form
    30,144/65,649 = 65,649/x
  3. Step 3: Cross multiply
    30,144x = 65,649 × 65,649
  4. Step 4: Simplify right side
    30,144x = 4,309,791,201
  5. Step 5: Solve for x
    x = 4,309,791,201/30,144
  6. Step 6: Final answer
    x = 142,973.43

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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.