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Finding the Third Proportional to 639,058.50 and 1,377,762.75

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Solution

The third proportional to 639,058.50 and 1,377,762.75 is: 2,970,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,058.50 : 1,377,762.75 = 1,377,762.75 : x
  2. Step 2: Convert to fraction form
    639,058.50/1,377,762.75 = 1,377,762.75/x
  3. Step 3: Cross multiply
    639,058.50x = 1,377,762.75 × 1,377,762.75
  4. Step 4: Simplify right side
    639,058.50x = 1,898,230,195,287.56
  5. Step 5: Solve for x
    x = 1,898,230,195,287.56/639,058.50
  6. Step 6: Final answer
    x = 2,970,354.35

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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.