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Finding the Third Proportional to 317,188 and 665,514

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Solution

The third proportional to 317,188 and 665,514 is: 1,396,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,188 : 665,514 = 665,514 : x
  2. Step 2: Convert to fraction form
    317,188/665,514 = 665,514/x
  3. Step 3: Cross multiply
    317,188x = 665,514 × 665,514
  4. Step 4: Simplify right side
    317,188x = 442,908,884,196
  5. Step 5: Solve for x
    x = 442,908,884,196/317,188
  6. Step 6: Final answer
    x = 1,396,360.78

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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.