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Finding the Third Proportional to 311,553 and 677,781

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Solution

The third proportional to 311,553 and 677,781 is: 1,474,507.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,553 : 677,781 = 677,781 : x
  2. Step 2: Convert to fraction form
    311,553/677,781 = 677,781/x
  3. Step 3: Cross multiply
    311,553x = 677,781 × 677,781
  4. Step 4: Simplify right side
    311,553x = 459,387,083,961
  5. Step 5: Solve for x
    x = 459,387,083,961/311,553
  6. Step 6: Final answer
    x = 1,474,507.01

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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.