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Finding the Third Proportional to 638,140 and 1,392,192

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Solution

The third proportional to 638,140 and 1,392,192 is: 3,037,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,140 : 1,392,192 = 1,392,192 : x
  2. Step 2: Convert to fraction form
    638,140/1,392,192 = 1,392,192/x
  3. Step 3: Cross multiply
    638,140x = 1,392,192 × 1,392,192
  4. Step 4: Simplify right side
    638,140x = 1,938,198,564,864
  5. Step 5: Solve for x
    x = 1,938,198,564,864/638,140
  6. Step 6: Final answer
    x = 3,037,262.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.