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Finding the Third Proportional to 69,135.75 and 148,063.50

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Solution

The third proportional to 69,135.75 and 148,063.50 is: 317,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,135.75 : 148,063.50 = 148,063.50 : x
  2. Step 2: Convert to fraction form
    69,135.75/148,063.50 = 148,063.50/x
  3. Step 3: Cross multiply
    69,135.75x = 148,063.50 × 148,063.50
  4. Step 4: Simplify right side
    69,135.75x = 21,922,800,032.25
  5. Step 5: Solve for x
    x = 21,922,800,032.25/69,135.75
  6. Step 6: Final answer
    x = 317,097.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.