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Finding the Third Proportional to 317,026 and 660,242

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Solution

The third proportional to 317,026 and 660,242 is: 1,375,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,026 : 660,242 = 660,242 : x
  2. Step 2: Convert to fraction form
    317,026/660,242 = 660,242/x
  3. Step 3: Cross multiply
    317,026x = 660,242 × 660,242
  4. Step 4: Simplify right side
    317,026x = 435,919,498,564
  5. Step 5: Solve for x
    x = 435,919,498,564/317,026
  6. Step 6: Final answer
    x = 1,375,027.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.