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Finding the Third Proportional to 85,219 and 133,391

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Solution

The third proportional to 85,219 and 133,391 is: 208,793.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,219 : 133,391 = 133,391 : x
  2. Step 2: Convert to fraction form
    85,219/133,391 = 133,391/x
  3. Step 3: Cross multiply
    85,219x = 133,391 × 133,391
  4. Step 4: Simplify right side
    85,219x = 17,793,158,881
  5. Step 5: Solve for x
    x = 17,793,158,881/85,219
  6. Step 6: Final answer
    x = 208,793.33

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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.