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Finding the Third Proportional to 120,300.75 and 180,911.25

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Solution

The third proportional to 120,300.75 and 180,911.25 is: 272,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,300.75 : 180,911.25 = 180,911.25 : x
  2. Step 2: Convert to fraction form
    120,300.75/180,911.25 = 180,911.25/x
  3. Step 3: Cross multiply
    120,300.75x = 180,911.25 × 180,911.25
  4. Step 4: Simplify right side
    120,300.75x = 32,728,880,376.56
  5. Step 5: Solve for x
    x = 32,728,880,376.56/120,300.75
  6. Step 6: Final answer
    x = 272,058.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.