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Finding the Third Proportional to 102,840 and 229,311

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Solution

The third proportional to 102,840 and 229,311 is: 511,314.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,840 : 229,311 = 229,311 : x
  2. Step 2: Convert to fraction form
    102,840/229,311 = 229,311/x
  3. Step 3: Cross multiply
    102,840x = 229,311 × 229,311
  4. Step 4: Simplify right side
    102,840x = 52,583,534,721
  5. Step 5: Solve for x
    x = 52,583,534,721/102,840
  6. Step 6: Final answer
    x = 511,314.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.