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Finding the Third Proportional to 128,264 and 281,154

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Solution

The third proportional to 128,264 and 281,154 is: 616,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,264 : 281,154 = 281,154 : x
  2. Step 2: Convert to fraction form
    128,264/281,154 = 281,154/x
  3. Step 3: Cross multiply
    128,264x = 281,154 × 281,154
  4. Step 4: Simplify right side
    128,264x = 79,047,571,716
  5. Step 5: Solve for x
    x = 79,047,571,716/128,264
  6. Step 6: Final answer
    x = 616,288.06

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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.