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Finding the Third Proportional to 150,707 and 205,236

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Solution

The third proportional to 150,707 and 205,236 is: 279,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,707 : 205,236 = 205,236 : x
  2. Step 2: Convert to fraction form
    150,707/205,236 = 205,236/x
  3. Step 3: Cross multiply
    150,707x = 205,236 × 205,236
  4. Step 4: Simplify right side
    150,707x = 42,121,815,696
  5. Step 5: Solve for x
    x = 42,121,815,696/150,707
  6. Step 6: Final answer
    x = 279,494.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.