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Finding the Third Proportional to 270,243.35 and 397,230.12

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Solution

The third proportional to 270,243.35 and 397,230.12 is: 583,887.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,243.35 : 397,230.12 = 397,230.12 : x
  2. Step 2: Convert to fraction form
    270,243.35/397,230.12 = 397,230.12/x
  3. Step 3: Cross multiply
    270,243.35x = 397,230.12 × 397,230.12
  4. Step 4: Simplify right side
    270,243.35x = 157,791,766,000.80
  5. Step 5: Solve for x
    x = 157,791,766,000.80/270,243.35
  6. Step 6: Final answer
    x = 583,887.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.