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Finding the Third Proportional to 71,270 and 107,377

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Solution

The third proportional to 71,270 and 107,377 is: 161,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,270 : 107,377 = 107,377 : x
  2. Step 2: Convert to fraction form
    71,270/107,377 = 107,377/x
  3. Step 3: Cross multiply
    71,270x = 107,377 × 107,377
  4. Step 4: Simplify right side
    71,270x = 11,529,820,129
  5. Step 5: Solve for x
    x = 11,529,820,129/71,270
  6. Step 6: Final answer
    x = 161,776.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.