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Finding the Third Proportional to 100,911.50 and 158,318.50

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Solution

The third proportional to 100,911.50 and 158,318.50 is: 248,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,911.50 : 158,318.50 = 158,318.50 : x
  2. Step 2: Convert to fraction form
    100,911.50/158,318.50 = 158,318.50/x
  3. Step 3: Cross multiply
    100,911.50x = 158,318.50 × 158,318.50
  4. Step 4: Simplify right side
    100,911.50x = 25,064,747,442.25
  5. Step 5: Solve for x
    x = 25,064,747,442.25/100,911.50
  6. Step 6: Final answer
    x = 248,383.46

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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.