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Finding the Third Proportional to 270,915 and 421,885.50

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Solution

The third proportional to 270,915 and 421,885.50 is: 656,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,915 : 421,885.50 = 421,885.50 : x
  2. Step 2: Convert to fraction form
    270,915/421,885.50 = 421,885.50/x
  3. Step 3: Cross multiply
    270,915x = 421,885.50 × 421,885.50
  4. Step 4: Simplify right side
    270,915x = 177,987,375,110.25
  5. Step 5: Solve for x
    x = 177,987,375,110.25/270,915
  6. Step 6: Final answer
    x = 656,986.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.