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Finding the Third Proportional to 156,069 and 178,992

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Solution

The third proportional to 156,069 and 178,992 is: 205,281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,069 : 178,992 = 178,992 : x
  2. Step 2: Convert to fraction form
    156,069/178,992 = 178,992/x
  3. Step 3: Cross multiply
    156,069x = 178,992 × 178,992
  4. Step 4: Simplify right side
    156,069x = 32,038,136,064
  5. Step 5: Solve for x
    x = 32,038,136,064/156,069
  6. Step 6: Final answer
    x = 205,281.87

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.