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Finding the Third Proportional to 72,610 and 156,344

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Solution

The third proportional to 72,610 and 156,344 is: 336,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,610 : 156,344 = 156,344 : x
  2. Step 2: Convert to fraction form
    72,610/156,344 = 156,344/x
  3. Step 3: Cross multiply
    72,610x = 156,344 × 156,344
  4. Step 4: Simplify right side
    72,610x = 24,443,446,336
  5. Step 5: Solve for x
    x = 24,443,446,336/72,610
  6. Step 6: Final answer
    x = 336,640.22

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