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Finding the Third Proportional to 85,259 and 133,455

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Solution

The third proportional to 85,259 and 133,455 is: 208,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,259 : 133,455 = 133,455 : x
  2. Step 2: Convert to fraction form
    85,259/133,455 = 133,455/x
  3. Step 3: Cross multiply
    85,259x = 133,455 × 133,455
  4. Step 4: Simplify right side
    85,259x = 17,810,237,025
  5. Step 5: Solve for x
    x = 17,810,237,025/85,259
  6. Step 6: Final answer
    x = 208,895.68

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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.