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Finding the Third Proportional to 639,770 and 1,481,069

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Solution

The third proportional to 639,770 and 1,481,069 is: 3,428,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,770 : 1,481,069 = 1,481,069 : x
  2. Step 2: Convert to fraction form
    639,770/1,481,069 = 1,481,069/x
  3. Step 3: Cross multiply
    639,770x = 1,481,069 × 1,481,069
  4. Step 4: Simplify right side
    639,770x = 2,193,565,382,761
  5. Step 5: Solve for x
    x = 2,193,565,382,761/639,770
  6. Step 6: Final answer
    x = 3,428,678.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.