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Finding the Third Proportional to 85,728.38 and 208,020.94

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Solution

The third proportional to 85,728.38 and 208,020.94 is: 504,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,728.38 : 208,020.94 = 208,020.94 : x
  2. Step 2: Convert to fraction form
    85,728.38/208,020.94 = 208,020.94/x
  3. Step 3: Cross multiply
    85,728.38x = 208,020.94 × 208,020.94
  4. Step 4: Simplify right side
    85,728.38x = 43,272,710,438.38
  5. Step 5: Solve for x
    x = 43,272,710,438.38/85,728.38
  6. Step 6: Final answer
    x = 504,765.32

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.