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Finding the Third Proportional to 117,981 and 176,989.50

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Solution

The third proportional to 117,981 and 176,989.50 is: 265,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,981 : 176,989.50 = 176,989.50 : x
  2. Step 2: Convert to fraction form
    117,981/176,989.50 = 176,989.50/x
  3. Step 3: Cross multiply
    117,981x = 176,989.50 × 176,989.50
  4. Step 4: Simplify right side
    117,981x = 31,325,283,110.25
  5. Step 5: Solve for x
    x = 31,325,283,110.25/117,981
  6. Step 6: Final answer
    x = 265,511.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.