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Finding the Third Proportional to 639,032.63 and 1,377,708.75

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Solution

The third proportional to 639,032.63 and 1,377,708.75 is: 2,970,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,032.63 : 1,377,708.75 = 1,377,708.75 : x
  2. Step 2: Convert to fraction form
    639,032.63/1,377,708.75 = 1,377,708.75/x
  3. Step 3: Cross multiply
    639,032.63x = 1,377,708.75 × 1,377,708.75
  4. Step 4: Simplify right side
    639,032.63x = 1,898,081,399,826.56
  5. Step 5: Solve for x
    x = 1,898,081,399,826.56/639,032.63
  6. Step 6: Final answer
    x = 2,970,241.78

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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.