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Finding the Third Proportional to 451,930 and 619,695

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Solution

The third proportional to 451,930 and 619,695 is: 849,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,930 : 619,695 = 619,695 : x
  2. Step 2: Convert to fraction form
    451,930/619,695 = 619,695/x
  3. Step 3: Cross multiply
    451,930x = 619,695 × 619,695
  4. Step 4: Simplify right side
    451,930x = 384,021,893,025
  5. Step 5: Solve for x
    x = 384,021,893,025/451,930
  6. Step 6: Final answer
    x = 849,737.55

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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.