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Finding the Third Proportional to 85,356 and 133,902

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Solution

The third proportional to 85,356 and 133,902 is: 210,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,356 : 133,902 = 133,902 : x
  2. Step 2: Convert to fraction form
    85,356/133,902 = 133,902/x
  3. Step 3: Cross multiply
    85,356x = 133,902 × 133,902
  4. Step 4: Simplify right side
    85,356x = 17,929,745,604
  5. Step 5: Solve for x
    x = 17,929,745,604/85,356
  6. Step 6: Final answer
    x = 210,058.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.