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Finding the Third Proportional to 213,050 and 331,203

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Solution

The third proportional to 213,050 and 331,203 is: 514,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,050 : 331,203 = 331,203 : x
  2. Step 2: Convert to fraction form
    213,050/331,203 = 331,203/x
  3. Step 3: Cross multiply
    213,050x = 331,203 × 331,203
  4. Step 4: Simplify right side
    213,050x = 109,695,427,209
  5. Step 5: Solve for x
    x = 109,695,427,209/213,050
  6. Step 6: Final answer
    x = 514,881.14

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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.