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Finding the Third Proportional to 438,049 and 640,443

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Solution

The third proportional to 438,049 and 640,443 is: 936,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,049 : 640,443 = 640,443 : x
  2. Step 2: Convert to fraction form
    438,049/640,443 = 640,443/x
  3. Step 3: Cross multiply
    438,049x = 640,443 × 640,443
  4. Step 4: Simplify right side
    438,049x = 410,167,236,249
  5. Step 5: Solve for x
    x = 410,167,236,249/438,049
  6. Step 6: Final answer
    x = 936,350.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.