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Finding the Third Proportional to 69,219.50 and 108,442.50

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Solution

The third proportional to 69,219.50 and 108,442.50 is: 169,891.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,219.50 : 108,442.50 = 108,442.50 : x
  2. Step 2: Convert to fraction form
    69,219.50/108,442.50 = 108,442.50/x
  3. Step 3: Cross multiply
    69,219.50x = 108,442.50 × 108,442.50
  4. Step 4: Simplify right side
    69,219.50x = 11,759,775,806.25
  5. Step 5: Solve for x
    x = 11,759,775,806.25/69,219.50
  6. Step 6: Final answer
    x = 169,891.08

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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.