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Finding the Third Proportional to 128,482 and 281,156

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Solution

The third proportional to 128,482 and 281,156 is: 615,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,482 : 281,156 = 281,156 : x
  2. Step 2: Convert to fraction form
    128,482/281,156 = 281,156/x
  3. Step 3: Cross multiply
    128,482x = 281,156 × 281,156
  4. Step 4: Simplify right side
    128,482x = 79,048,696,336
  5. Step 5: Solve for x
    x = 79,048,696,336/128,482
  6. Step 6: Final answer
    x = 615,251.14

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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.