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Finding the Third Proportional to 639,255.38 and 1,378,140.75

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Solution

The third proportional to 639,255.38 and 1,378,140.75 is: 2,971,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,255.38 : 1,378,140.75 = 1,378,140.75 : x
  2. Step 2: Convert to fraction form
    639,255.38/1,378,140.75 = 1,378,140.75/x
  3. Step 3: Cross multiply
    639,255.38x = 1,378,140.75 × 1,378,140.75
  4. Step 4: Simplify right side
    639,255.38x = 1,899,271,926,810.56
  5. Step 5: Solve for x
    x = 1,899,271,926,810.56/639,255.38
  6. Step 6: Final answer
    x = 2,971,069.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.