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Finding the Third Proportional to 76,209.75 and 108,709.88

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Solution

The third proportional to 76,209.75 and 108,709.88 is: 155,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,209.75 : 108,709.88 = 108,709.88 : x
  2. Step 2: Convert to fraction form
    76,209.75/108,709.88 = 108,709.88/x
  3. Step 3: Cross multiply
    76,209.75x = 108,709.88 × 108,709.88
  4. Step 4: Simplify right side
    76,209.75x = 11,817,836,922.52
  5. Step 5: Solve for x
    x = 11,817,836,922.52/76,209.75
  6. Step 6: Final answer
    x = 155,069.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.