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Finding the Third Proportional to 312,212 and 657,049

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Solution

The third proportional to 312,212 and 657,049 is: 1,382,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,212 : 657,049 = 657,049 : x
  2. Step 2: Convert to fraction form
    312,212/657,049 = 657,049/x
  3. Step 3: Cross multiply
    312,212x = 657,049 × 657,049
  4. Step 4: Simplify right side
    312,212x = 431,713,388,401
  5. Step 5: Solve for x
    x = 431,713,388,401/312,212
  6. Step 6: Final answer
    x = 1,382,757.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.