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Finding the Third Proportional to 639,196 and 1,420,276

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Solution

The third proportional to 639,196 and 1,420,276 is: 3,155,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,196 : 1,420,276 = 1,420,276 : x
  2. Step 2: Convert to fraction form
    639,196/1,420,276 = 1,420,276/x
  3. Step 3: Cross multiply
    639,196x = 1,420,276 × 1,420,276
  4. Step 4: Simplify right side
    639,196x = 2,017,183,916,176
  5. Step 5: Solve for x
    x = 2,017,183,916,176/639,196
  6. Step 6: Final answer
    x = 3,155,814.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.