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Finding the Third Proportional to 640,464 and 1,379,896

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Solution

The third proportional to 640,464 and 1,379,896 is: 2,973,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,464 : 1,379,896 = 1,379,896 : x
  2. Step 2: Convert to fraction form
    640,464/1,379,896 = 1,379,896/x
  3. Step 3: Cross multiply
    640,464x = 1,379,896 × 1,379,896
  4. Step 4: Simplify right side
    640,464x = 1,904,112,970,816
  5. Step 5: Solve for x
    x = 1,904,112,970,816/640,464
  6. Step 6: Final answer
    x = 2,973,021.08

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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.