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Finding the Third Proportional to 312,069 and 661,326

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Solution

The third proportional to 312,069 and 661,326 is: 1,401,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,069 : 661,326 = 661,326 : x
  2. Step 2: Convert to fraction form
    312,069/661,326 = 661,326/x
  3. Step 3: Cross multiply
    312,069x = 661,326 × 661,326
  4. Step 4: Simplify right side
    312,069x = 437,352,078,276
  5. Step 5: Solve for x
    x = 437,352,078,276/312,069
  6. Step 6: Final answer
    x = 1,401,459.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.