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Finding the Third Proportional to 317,966 and 673,840

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Solution

The third proportional to 317,966 and 673,840 is: 1,428,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,966 : 673,840 = 673,840 : x
  2. Step 2: Convert to fraction form
    317,966/673,840 = 673,840/x
  3. Step 3: Cross multiply
    317,966x = 673,840 × 673,840
  4. Step 4: Simplify right side
    317,966x = 454,060,345,600
  5. Step 5: Solve for x
    x = 454,060,345,600/317,966
  6. Step 6: Final answer
    x = 1,428,015.40

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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.