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Finding the Third Proportional to 317,972 and 673,852

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Solution

The third proportional to 317,972 and 673,852 is: 1,428,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,972 : 673,852 = 673,852 : x
  2. Step 2: Convert to fraction form
    317,972/673,852 = 673,852/x
  3. Step 3: Cross multiply
    317,972x = 673,852 × 673,852
  4. Step 4: Simplify right side
    317,972x = 454,076,517,904
  5. Step 5: Solve for x
    x = 454,076,517,904/317,972
  6. Step 6: Final answer
    x = 1,428,039.32

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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.