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Finding the Third Proportional to 413,855 and 641,072

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Solution

The third proportional to 413,855 and 641,072 is: 993,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,855 : 641,072 = 641,072 : x
  2. Step 2: Convert to fraction form
    413,855/641,072 = 641,072/x
  3. Step 3: Cross multiply
    413,855x = 641,072 × 641,072
  4. Step 4: Simplify right side
    413,855x = 410,973,309,184
  5. Step 5: Solve for x
    x = 410,973,309,184/413,855
  6. Step 6: Final answer
    x = 993,036.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.