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Finding the Third Proportional to 639,058 and 1,377,761

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Solution

The third proportional to 639,058 and 1,377,761 is: 2,970,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,058 : 1,377,761 = 1,377,761 : x
  2. Step 2: Convert to fraction form
    639,058/1,377,761 = 1,377,761/x
  3. Step 3: Cross multiply
    639,058x = 1,377,761 × 1,377,761
  4. Step 4: Simplify right side
    639,058x = 1,898,225,373,121
  5. Step 5: Solve for x
    x = 1,898,225,373,121/639,058
  6. Step 6: Final answer
    x = 2,970,349.13

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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.