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Finding the Third Proportional to 136,705.50 and 300,295.13

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Solution

The third proportional to 136,705.50 and 300,295.13 is: 659,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,705.50 : 300,295.13 = 300,295.13 : x
  2. Step 2: Convert to fraction form
    136,705.50/300,295.13 = 300,295.13/x
  3. Step 3: Cross multiply
    136,705.50x = 300,295.13 × 300,295.13
  4. Step 4: Simplify right side
    136,705.50x = 90,177,162,098.77
  5. Step 5: Solve for x
    x = 90,177,162,098.77/136,705.50
  6. Step 6: Final answer
    x = 659,645.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.