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Finding the Third Proportional to 406,412 and 603,744

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Solution

The third proportional to 406,412 and 603,744 is: 896,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,412 : 603,744 = 603,744 : x
  2. Step 2: Convert to fraction form
    406,412/603,744 = 603,744/x
  3. Step 3: Cross multiply
    406,412x = 603,744 × 603,744
  4. Step 4: Simplify right side
    406,412x = 364,506,817,536
  5. Step 5: Solve for x
    x = 364,506,817,536/406,412
  6. Step 6: Final answer
    x = 896,889.90

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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.