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Finding the Third Proportional to 117,720.75 and 171,111

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Solution

The third proportional to 117,720.75 and 171,111 is: 248,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,720.75 : 171,111 = 171,111 : x
  2. Step 2: Convert to fraction form
    117,720.75/171,111 = 171,111/x
  3. Step 3: Cross multiply
    117,720.75x = 171,111 × 171,111
  4. Step 4: Simplify right side
    117,720.75x = 29,278,974,321
  5. Step 5: Solve for x
    x = 29,278,974,321/117,720.75
  6. Step 6: Final answer
    x = 248,715.49

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.