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Finding the Third Proportional to 84,425 and 133,685

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Solution

The third proportional to 84,425 and 133,685 is: 211,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,425 : 133,685 = 133,685 : x
  2. Step 2: Convert to fraction form
    84,425/133,685 = 133,685/x
  3. Step 3: Cross multiply
    84,425x = 133,685 × 133,685
  4. Step 4: Simplify right side
    84,425x = 17,871,679,225
  5. Step 5: Solve for x
    x = 17,871,679,225/84,425
  6. Step 6: Final answer
    x = 211,687.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.