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Finding the Third Proportional to 128,051 and 187,154

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Solution

The third proportional to 128,051 and 187,154 is: 273,536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,051 : 187,154 = 187,154 : x
  2. Step 2: Convert to fraction form
    128,051/187,154 = 187,154/x
  3. Step 3: Cross multiply
    128,051x = 187,154 × 187,154
  4. Step 4: Simplify right side
    128,051x = 35,026,619,716
  5. Step 5: Solve for x
    x = 35,026,619,716/128,051
  6. Step 6: Final answer
    x = 273,536.48

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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.