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Finding the Third Proportional to 445,520 and 643,698

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Solution

The third proportional to 445,520 and 643,698 is: 930,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,520 : 643,698 = 643,698 : x
  2. Step 2: Convert to fraction form
    445,520/643,698 = 643,698/x
  3. Step 3: Cross multiply
    445,520x = 643,698 × 643,698
  4. Step 4: Simplify right side
    445,520x = 414,347,115,204
  5. Step 5: Solve for x
    x = 414,347,115,204/445,520
  6. Step 6: Final answer
    x = 930,030.34

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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.