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Finding the Third Proportional to 639,720 and 1,358,163

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Solution

The third proportional to 639,720 and 1,358,163 is: 2,883,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,720 : 1,358,163 = 1,358,163 : x
  2. Step 2: Convert to fraction form
    639,720/1,358,163 = 1,358,163/x
  3. Step 3: Cross multiply
    639,720x = 1,358,163 × 1,358,163
  4. Step 4: Simplify right side
    639,720x = 1,844,606,734,569
  5. Step 5: Solve for x
    x = 1,844,606,734,569/639,720
  6. Step 6: Final answer
    x = 2,883,459.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.