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Finding the Third Proportional to 214,020 and 331,851

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Solution

The third proportional to 214,020 and 331,851 is: 514,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,020 : 331,851 = 331,851 : x
  2. Step 2: Convert to fraction form
    214,020/331,851 = 331,851/x
  3. Step 3: Cross multiply
    214,020x = 331,851 × 331,851
  4. Step 4: Simplify right side
    214,020x = 110,125,086,201
  5. Step 5: Solve for x
    x = 110,125,086,201/214,020
  6. Step 6: Final answer
    x = 514,555.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.