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Finding the Third Proportional to 317,140 and 665,419

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Solution

The third proportional to 317,140 and 665,419 is: 1,396,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,140 : 665,419 = 665,419 : x
  2. Step 2: Convert to fraction form
    317,140/665,419 = 665,419/x
  3. Step 3: Cross multiply
    317,140x = 665,419 × 665,419
  4. Step 4: Simplify right side
    317,140x = 442,782,445,561
  5. Step 5: Solve for x
    x = 442,782,445,561/317,140
  6. Step 6: Final answer
    x = 1,396,173.44

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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.