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Finding the Third Proportional to 213,120 and 331,128

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Solution

The third proportional to 213,120 and 331,128 is: 514,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,120 : 331,128 = 331,128 : x
  2. Step 2: Convert to fraction form
    213,120/331,128 = 331,128/x
  3. Step 3: Cross multiply
    213,120x = 331,128 × 331,128
  4. Step 4: Simplify right side
    213,120x = 109,645,752,384
  5. Step 5: Solve for x
    x = 109,645,752,384/213,120
  6. Step 6: Final answer
    x = 514,478.94

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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.