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Finding the Third Proportional to 128,202 and 281,006

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Solution

The third proportional to 128,202 and 281,006 is: 615,937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,202 : 281,006 = 281,006 : x
  2. Step 2: Convert to fraction form
    128,202/281,006 = 281,006/x
  3. Step 3: Cross multiply
    128,202x = 281,006 × 281,006
  4. Step 4: Simplify right side
    128,202x = 78,964,372,036
  5. Step 5: Solve for x
    x = 78,964,372,036/128,202
  6. Step 6: Final answer
    x = 615,937.13

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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.