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Finding the Third Proportional to 197,520 and 282,255

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Solution

The third proportional to 197,520 and 282,255 is: 403,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,520 : 282,255 = 282,255 : x
  2. Step 2: Convert to fraction form
    197,520/282,255 = 282,255/x
  3. Step 3: Cross multiply
    197,520x = 282,255 × 282,255
  4. Step 4: Simplify right side
    197,520x = 79,667,885,025
  5. Step 5: Solve for x
    x = 79,667,885,025/197,520
  6. Step 6: Final answer
    x = 403,340.85

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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.