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Finding the Third Proportional to 219,976 and 343,113

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Solution

The third proportional to 219,976 and 343,113 is: 535,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,976 : 343,113 = 343,113 : x
  2. Step 2: Convert to fraction form
    219,976/343,113 = 343,113/x
  3. Step 3: Cross multiply
    219,976x = 343,113 × 343,113
  4. Step 4: Simplify right side
    219,976x = 117,726,530,769
  5. Step 5: Solve for x
    x = 117,726,530,769/219,976
  6. Step 6: Final answer
    x = 535,178.98

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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.