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Finding the Third Proportional to 69,879 and 151,572

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Solution

The third proportional to 69,879 and 151,572 is: 328,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,879 : 151,572 = 151,572 : x
  2. Step 2: Convert to fraction form
    69,879/151,572 = 151,572/x
  3. Step 3: Cross multiply
    69,879x = 151,572 × 151,572
  4. Step 4: Simplify right side
    69,879x = 22,974,071,184
  5. Step 5: Solve for x
    x = 22,974,071,184/69,879
  6. Step 6: Final answer
    x = 328,769.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.