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Finding the Third Proportional to 219,978 and 343,114

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Solution

The third proportional to 219,978 and 343,114 is: 535,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,978 : 343,114 = 343,114 : x
  2. Step 2: Convert to fraction form
    219,978/343,114 = 343,114/x
  3. Step 3: Cross multiply
    219,978x = 343,114 × 343,114
  4. Step 4: Simplify right side
    219,978x = 117,727,216,996
  5. Step 5: Solve for x
    x = 117,727,216,996/219,978
  6. Step 6: Final answer
    x = 535,177.23

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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.