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Finding the Third Proportional to 72,611 and 156,347

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Solution

The third proportional to 72,611 and 156,347 is: 336,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,611 : 156,347 = 156,347 : x
  2. Step 2: Convert to fraction form
    72,611/156,347 = 156,347/x
  3. Step 3: Cross multiply
    72,611x = 156,347 × 156,347
  4. Step 4: Simplify right side
    72,611x = 24,444,384,409
  5. Step 5: Solve for x
    x = 24,444,384,409/72,611
  6. Step 6: Final answer
    x = 336,648.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.