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Finding the Third Proportional to 197,293.50 and 420,835.50

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Solution

The third proportional to 197,293.50 and 420,835.50 is: 897,660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,293.50 : 420,835.50 = 420,835.50 : x
  2. Step 2: Convert to fraction form
    197,293.50/420,835.50 = 420,835.50/x
  3. Step 3: Cross multiply
    197,293.50x = 420,835.50 × 420,835.50
  4. Step 4: Simplify right side
    197,293.50x = 177,102,518,060.25
  5. Step 5: Solve for x
    x = 177,102,518,060.25/197,293.50
  6. Step 6: Final answer
    x = 897,660.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.