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Finding the Third Proportional to 138,008 and 281,090

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Solution

The third proportional to 138,008 and 281,090 is: 572,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,008 : 281,090 = 281,090 : x
  2. Step 2: Convert to fraction form
    138,008/281,090 = 281,090/x
  3. Step 3: Cross multiply
    138,008x = 281,090 × 281,090
  4. Step 4: Simplify right side
    138,008x = 79,011,588,100
  5. Step 5: Solve for x
    x = 79,011,588,100/138,008
  6. Step 6: Final answer
    x = 572,514.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.