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Finding the Third Proportional to 103,615 and 155,711

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Solution

The third proportional to 103,615 and 155,711 is: 234,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,615 : 155,711 = 155,711 : x
  2. Step 2: Convert to fraction form
    103,615/155,711 = 155,711/x
  3. Step 3: Cross multiply
    103,615x = 155,711 × 155,711
  4. Step 4: Simplify right side
    103,615x = 24,245,915,521
  5. Step 5: Solve for x
    x = 24,245,915,521/103,615
  6. Step 6: Final answer
    x = 234,000.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.