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Finding the Third Proportional to 64,761.75 and 139,728.38

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Solution

The third proportional to 64,761.75 and 139,728.38 is: 301,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,761.75 : 139,728.38 = 139,728.38 : x
  2. Step 2: Convert to fraction form
    64,761.75/139,728.38 = 139,728.38/x
  3. Step 3: Cross multiply
    64,761.75x = 139,728.38 × 139,728.38
  4. Step 4: Simplify right side
    64,761.75x = 19,524,018,780.14
  5. Step 5: Solve for x
    x = 19,524,018,780.14/64,761.75
  6. Step 6: Final answer
    x = 301,474.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.