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Finding the Third Proportional to 104,619 and 152,068

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Solution

The third proportional to 104,619 and 152,068 is: 221,037.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,619 : 152,068 = 152,068 : x
  2. Step 2: Convert to fraction form
    104,619/152,068 = 152,068/x
  3. Step 3: Cross multiply
    104,619x = 152,068 × 152,068
  4. Step 4: Simplify right side
    104,619x = 23,124,676,624
  5. Step 5: Solve for x
    x = 23,124,676,624/104,619
  6. Step 6: Final answer
    x = 221,037.06

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.