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Finding the Third Proportional to 638,297.72 and 1,382,971.22

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Solution

The third proportional to 638,297.72 and 1,382,971.22 is: 2,996,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,297.72 : 1,382,971.22 = 1,382,971.22 : x
  2. Step 2: Convert to fraction form
    638,297.72/1,382,971.22 = 1,382,971.22/x
  3. Step 3: Cross multiply
    638,297.72x = 1,382,971.22 × 1,382,971.22
  4. Step 4: Simplify right side
    638,297.72x = 1,912,609,391,890.86
  5. Step 5: Solve for x
    x = 1,912,609,391,890.86/638,297.72
  6. Step 6: Final answer
    x = 2,996,422.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.