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Finding the Third Proportional to 142,247 and 213,749

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Solution

The third proportional to 142,247 and 213,749 is: 321,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,247 : 213,749 = 213,749 : x
  2. Step 2: Convert to fraction form
    142,247/213,749 = 213,749/x
  3. Step 3: Cross multiply
    142,247x = 213,749 × 213,749
  4. Step 4: Simplify right side
    142,247x = 45,688,635,001
  5. Step 5: Solve for x
    x = 45,688,635,001/142,247
  6. Step 6: Final answer
    x = 321,192.26

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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.