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Finding the Third Proportional to 215,021 and 424,750

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Solution

The third proportional to 215,021 and 424,750 is: 839,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,021 : 424,750 = 424,750 : x
  2. Step 2: Convert to fraction form
    215,021/424,750 = 424,750/x
  3. Step 3: Cross multiply
    215,021x = 424,750 × 424,750
  4. Step 4: Simplify right side
    215,021x = 180,412,562,500
  5. Step 5: Solve for x
    x = 180,412,562,500/215,021
  6. Step 6: Final answer
    x = 839,046.24

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.