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Finding the Third Proportional to 664,929 and 1,418,310

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Solution

The third proportional to 664,929 and 1,418,310 is: 3,025,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,929 : 1,418,310 = 1,418,310 : x
  2. Step 2: Convert to fraction form
    664,929/1,418,310 = 1,418,310/x
  3. Step 3: Cross multiply
    664,929x = 1,418,310 × 1,418,310
  4. Step 4: Simplify right side
    664,929x = 2,011,603,256,100
  5. Step 5: Solve for x
    x = 2,011,603,256,100/664,929
  6. Step 6: Final answer
    x = 3,025,290.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.