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Finding the Third Proportional to 71,840 and 155,152

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Solution

The third proportional to 71,840 and 155,152 is: 335,079.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,840 : 155,152 = 155,152 : x
  2. Step 2: Convert to fraction form
    71,840/155,152 = 155,152/x
  3. Step 3: Cross multiply
    71,840x = 155,152 × 155,152
  4. Step 4: Simplify right side
    71,840x = 24,072,143,104
  5. Step 5: Solve for x
    x = 24,072,143,104/71,840
  6. Step 6: Final answer
    x = 335,079.94

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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.