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Finding the Third Proportional to 491,592 and 672,771

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Solution

The third proportional to 491,592 and 672,771 is: 920,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,592 : 672,771 = 672,771 : x
  2. Step 2: Convert to fraction form
    491,592/672,771 = 672,771/x
  3. Step 3: Cross multiply
    491,592x = 672,771 × 672,771
  4. Step 4: Simplify right side
    491,592x = 452,620,818,441
  5. Step 5: Solve for x
    x = 452,620,818,441/491,592
  6. Step 6: Final answer
    x = 920,724.54

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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.