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Finding the Third Proportional to 451,569 and 619,214

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Solution

The third proportional to 451,569 and 619,214 is: 849,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,569 : 619,214 = 619,214 : x
  2. Step 2: Convert to fraction form
    451,569/619,214 = 619,214/x
  3. Step 3: Cross multiply
    451,569x = 619,214 × 619,214
  4. Step 4: Simplify right side
    451,569x = 383,425,977,796
  5. Step 5: Solve for x
    x = 383,425,977,796/451,569
  6. Step 6: Final answer
    x = 849,097.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.