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Finding the Third Proportional to 156,979 and 343,118

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Solution

The third proportional to 156,979 and 343,118 is: 749,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,979 : 343,118 = 343,118 : x
  2. Step 2: Convert to fraction form
    156,979/343,118 = 343,118/x
  3. Step 3: Cross multiply
    156,979x = 343,118 × 343,118
  4. Step 4: Simplify right side
    156,979x = 117,729,961,924
  5. Step 5: Solve for x
    x = 117,729,961,924/156,979
  6. Step 6: Final answer
    x = 749,972.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.