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Finding the Third Proportional to 640,965 and 1,384,719

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Solution

The third proportional to 640,965 and 1,384,719 is: 2,991,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,965 : 1,384,719 = 1,384,719 : x
  2. Step 2: Convert to fraction form
    640,965/1,384,719 = 1,384,719/x
  3. Step 3: Cross multiply
    640,965x = 1,384,719 × 1,384,719
  4. Step 4: Simplify right side
    640,965x = 1,917,446,708,961
  5. Step 5: Solve for x
    x = 1,917,446,708,961/640,965
  6. Step 6: Final answer
    x = 2,991,499.86

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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.