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Finding the Third Proportional to 95,576 and 133,710

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Solution

The third proportional to 95,576 and 133,710 is: 187,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,576 : 133,710 = 133,710 : x
  2. Step 2: Convert to fraction form
    95,576/133,710 = 133,710/x
  3. Step 3: Cross multiply
    95,576x = 133,710 × 133,710
  4. Step 4: Simplify right side
    95,576x = 17,878,364,100
  5. Step 5: Solve for x
    x = 17,878,364,100/95,576
  6. Step 6: Final answer
    x = 187,059.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.