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Finding the Third Proportional to 128,254 and 281,108

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Solution

The third proportional to 128,254 and 281,108 is: 616,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,254 : 281,108 = 281,108 : x
  2. Step 2: Convert to fraction form
    128,254/281,108 = 281,108/x
  3. Step 3: Cross multiply
    128,254x = 281,108 × 281,108
  4. Step 4: Simplify right side
    128,254x = 79,021,707,664
  5. Step 5: Solve for x
    x = 79,021,707,664/128,254
  6. Step 6: Final answer
    x = 616,134.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.