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Finding the Third Proportional to 128,792.53 and 189,464.06

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Solution

The third proportional to 128,792.53 and 189,464.06 is: 278,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,792.53 : 189,464.06 = 189,464.06 : x
  2. Step 2: Convert to fraction form
    128,792.53/189,464.06 = 189,464.06/x
  3. Step 3: Cross multiply
    128,792.53x = 189,464.06 × 189,464.06
  4. Step 4: Simplify right side
    128,792.53x = 35,896,630,979.00
  5. Step 5: Solve for x
    x = 35,896,630,979.00/128,792.53
  6. Step 6: Final answer
    x = 278,716.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.