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Finding the Third Proportional to 156,729 and 204,169

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Solution

The third proportional to 156,729 and 204,169 is: 265,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729 : 204,169 = 204,169 : x
  2. Step 2: Convert to fraction form
    156,729/204,169 = 204,169/x
  3. Step 3: Cross multiply
    156,729x = 204,169 × 204,169
  4. Step 4: Simplify right side
    156,729x = 41,684,980,561
  5. Step 5: Solve for x
    x = 41,684,980,561/156,729
  6. Step 6: Final answer
    x = 265,968.52

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.