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Finding the Third Proportional to 138,241 and 296,130

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Solution

The third proportional to 138,241 and 296,130 is: 634,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,241 : 296,130 = 296,130 : x
  2. Step 2: Convert to fraction form
    138,241/296,130 = 296,130/x
  3. Step 3: Cross multiply
    138,241x = 296,130 × 296,130
  4. Step 4: Simplify right side
    138,241x = 87,692,976,900
  5. Step 5: Solve for x
    x = 87,692,976,900/138,241
  6. Step 6: Final answer
    x = 634,348.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.