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Finding the Third Proportional to 197,101 and 303,373.50

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Solution

The third proportional to 197,101 and 303,373.50 is: 466,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,101 : 303,373.50 = 303,373.50 : x
  2. Step 2: Convert to fraction form
    197,101/303,373.50 = 303,373.50/x
  3. Step 3: Cross multiply
    197,101x = 303,373.50 × 303,373.50
  4. Step 4: Simplify right side
    197,101x = 92,035,480,502.25
  5. Step 5: Solve for x
    x = 92,035,480,502.25/197,101
  6. Step 6: Final answer
    x = 466,945.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.