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Finding the Third Proportional to 128,120 and 187,243

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Solution

The third proportional to 128,120 and 187,243 is: 273,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,120 : 187,243 = 187,243 : x
  2. Step 2: Convert to fraction form
    128,120/187,243 = 187,243/x
  3. Step 3: Cross multiply
    128,120x = 187,243 × 187,243
  4. Step 4: Simplify right side
    128,120x = 35,059,941,049
  5. Step 5: Solve for x
    x = 35,059,941,049/128,120
  6. Step 6: Final answer
    x = 273,649.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.