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Finding the Third Proportional to 65,832.75 and 139,509

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Solution

The third proportional to 65,832.75 and 139,509 is: 295,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,832.75 : 139,509 = 139,509 : x
  2. Step 2: Convert to fraction form
    65,832.75/139,509 = 139,509/x
  3. Step 3: Cross multiply
    65,832.75x = 139,509 × 139,509
  4. Step 4: Simplify right side
    65,832.75x = 19,462,761,081
  5. Step 5: Solve for x
    x = 19,462,761,081/65,832.75
  6. Step 6: Final answer
    x = 295,639.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.