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Finding the Third Proportional to 291,227 and 636,948

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Solution

The third proportional to 291,227 and 636,948 is: 1,393,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,227 : 636,948 = 636,948 : x
  2. Step 2: Convert to fraction form
    291,227/636,948 = 636,948/x
  3. Step 3: Cross multiply
    291,227x = 636,948 × 636,948
  4. Step 4: Simplify right side
    291,227x = 405,702,754,704
  5. Step 5: Solve for x
    x = 405,702,754,704/291,227
  6. Step 6: Final answer
    x = 1,393,080.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.