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Finding the Third Proportional to 406,479 and 603,823

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Solution

The third proportional to 406,479 and 603,823 is: 896,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,479 : 603,823 = 603,823 : x
  2. Step 2: Convert to fraction form
    406,479/603,823 = 603,823/x
  3. Step 3: Cross multiply
    406,479x = 603,823 × 603,823
  4. Step 4: Simplify right side
    406,479x = 364,602,215,329
  5. Step 5: Solve for x
    x = 364,602,215,329/406,479
  6. Step 6: Final answer
    x = 896,976.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.