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Finding the Third Proportional to 85,218 and 133,389

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Solution

The third proportional to 85,218 and 133,389 is: 208,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,218 : 133,389 = 133,389 : x
  2. Step 2: Convert to fraction form
    85,218/133,389 = 133,389/x
  3. Step 3: Cross multiply
    85,218x = 133,389 × 133,389
  4. Step 4: Simplify right side
    85,218x = 17,792,625,321
  5. Step 5: Solve for x
    x = 17,792,625,321/85,218
  6. Step 6: Final answer
    x = 208,789.52

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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.