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Finding the Third Proportional to 639,090 and 1,374,742.13

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Solution

The third proportional to 639,090 and 1,374,742.13 is: 2,957,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,090 : 1,374,742.13 = 1,374,742.13 : x
  2. Step 2: Convert to fraction form
    639,090/1,374,742.13 = 1,374,742.13/x
  3. Step 3: Cross multiply
    639,090x = 1,374,742.13 × 1,374,742.13
  4. Step 4: Simplify right side
    639,090x = 1,889,915,910,249.52
  5. Step 5: Solve for x
    x = 1,889,915,910,249.52/639,090
  6. Step 6: Final answer
    x = 2,957,198.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.