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Finding the Third Proportional to 455,227 and 655,768

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Solution

The third proportional to 455,227 and 655,768 is: 944,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,227 : 655,768 = 655,768 : x
  2. Step 2: Convert to fraction form
    455,227/655,768 = 655,768/x
  3. Step 3: Cross multiply
    455,227x = 655,768 × 655,768
  4. Step 4: Simplify right side
    455,227x = 430,031,669,824
  5. Step 5: Solve for x
    x = 430,031,669,824/455,227
  6. Step 6: Final answer
    x = 944,653.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.