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Finding the Third Proportional to 445,518 and 643,696

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Solution

The third proportional to 445,518 and 643,696 is: 930,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,518 : 643,696 = 643,696 : x
  2. Step 2: Convert to fraction form
    445,518/643,696 = 643,696/x
  3. Step 3: Cross multiply
    445,518x = 643,696 × 643,696
  4. Step 4: Simplify right side
    445,518x = 414,344,540,416
  5. Step 5: Solve for x
    x = 414,344,540,416/445,518
  6. Step 6: Final answer
    x = 930,028.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.