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Finding the Third Proportional to 72,711 and 156,879

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Solution

The third proportional to 72,711 and 156,879 is: 338,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,711 : 156,879 = 156,879 : x
  2. Step 2: Convert to fraction form
    72,711/156,879 = 156,879/x
  3. Step 3: Cross multiply
    72,711x = 156,879 × 156,879
  4. Step 4: Simplify right side
    72,711x = 24,611,020,641
  5. Step 5: Solve for x
    x = 24,611,020,641/72,711
  6. Step 6: Final answer
    x = 338,477.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.