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Finding the Third Proportional to 128,088 and 192,543.75

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Solution

The third proportional to 128,088 and 192,543.75 is: 289,434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,088 : 192,543.75 = 192,543.75 : x
  2. Step 2: Convert to fraction form
    128,088/192,543.75 = 192,543.75/x
  3. Step 3: Cross multiply
    128,088x = 192,543.75 × 192,543.75
  4. Step 4: Simplify right side
    128,088x = 37,073,095,664.06
  5. Step 5: Solve for x
    x = 37,073,095,664.06/128,088
  6. Step 6: Final answer
    x = 289,434.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.