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Finding the Third Proportional to 120,139.73 and 264,260.53

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Solution

The third proportional to 120,139.73 and 264,260.53 is: 581,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,139.73 : 264,260.53 = 264,260.53 : x
  2. Step 2: Convert to fraction form
    120,139.73/264,260.53 = 264,260.53/x
  3. Step 3: Cross multiply
    120,139.73x = 264,260.53 × 264,260.53
  4. Step 4: Simplify right side
    120,139.73x = 69,833,628,376.53
  5. Step 5: Solve for x
    x = 69,833,628,376.53/120,139.73
  6. Step 6: Final answer
    x = 581,270.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.