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Finding the Third Proportional to 69,624 and 147,185

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Solution

The third proportional to 69,624 and 147,185 is: 311,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,624 : 147,185 = 147,185 : x
  2. Step 2: Convert to fraction form
    69,624/147,185 = 147,185/x
  3. Step 3: Cross multiply
    69,624x = 147,185 × 147,185
  4. Step 4: Simplify right side
    69,624x = 21,663,424,225
  5. Step 5: Solve for x
    x = 21,663,424,225/69,624
  6. Step 6: Final answer
    x = 311,148.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.