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Finding the Third Proportional to 85,201 and 133,666

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Solution

The third proportional to 85,201 and 133,666 is: 209,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,201 : 133,666 = 133,666 : x
  2. Step 2: Convert to fraction form
    85,201/133,666 = 133,666/x
  3. Step 3: Cross multiply
    85,201x = 133,666 × 133,666
  4. Step 4: Simplify right side
    85,201x = 17,866,599,556
  5. Step 5: Solve for x
    x = 17,866,599,556/85,201
  6. Step 6: Final answer
    x = 209,699.41

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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.