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Finding the Third Proportional to 156,929 and 322,125

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Solution

The third proportional to 156,929 and 322,125 is: 661,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,929 : 322,125 = 322,125 : x
  2. Step 2: Convert to fraction form
    156,929/322,125 = 322,125/x
  3. Step 3: Cross multiply
    156,929x = 322,125 × 322,125
  4. Step 4: Simplify right side
    156,929x = 103,764,515,625
  5. Step 5: Solve for x
    x = 103,764,515,625/156,929
  6. Step 6: Final answer
    x = 661,219.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.