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Finding the Third Proportional to 638,964 and 1,363,173

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Solution

The third proportional to 638,964 and 1,363,173 is: 2,908,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,964 : 1,363,173 = 1,363,173 : x
  2. Step 2: Convert to fraction form
    638,964/1,363,173 = 1,363,173/x
  3. Step 3: Cross multiply
    638,964x = 1,363,173 × 1,363,173
  4. Step 4: Simplify right side
    638,964x = 1,858,240,627,929
  5. Step 5: Solve for x
    x = 1,858,240,627,929/638,964
  6. Step 6: Final answer
    x = 2,908,208.64

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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.