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Finding the Third Proportional to 270,969 and 381,247.50

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Solution

The third proportional to 270,969 and 381,247.50 is: 536,406.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,969 : 381,247.50 = 381,247.50 : x
  2. Step 2: Convert to fraction form
    270,969/381,247.50 = 381,247.50/x
  3. Step 3: Cross multiply
    270,969x = 381,247.50 × 381,247.50
  4. Step 4: Simplify right side
    270,969x = 145,349,656,256.25
  5. Step 5: Solve for x
    x = 145,349,656,256.25/270,969
  6. Step 6: Final answer
    x = 536,406.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.