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Finding the Third Proportional to 189,512.75 and 286,238.50

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Solution

The third proportional to 189,512.75 and 286,238.50 is: 432,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,512.75 : 286,238.50 = 286,238.50 : x
  2. Step 2: Convert to fraction form
    189,512.75/286,238.50 = 286,238.50/x
  3. Step 3: Cross multiply
    189,512.75x = 286,238.50 × 286,238.50
  4. Step 4: Simplify right side
    189,512.75x = 81,932,478,882.25
  5. Step 5: Solve for x
    x = 81,932,478,882.25/189,512.75
  6. Step 6: Final answer
    x = 432,332.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.