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Finding the Third Proportional to 316,728 and 672,318

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Solution

The third proportional to 316,728 and 672,318 is: 1,427,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,728 : 672,318 = 672,318 : x
  2. Step 2: Convert to fraction form
    316,728/672,318 = 672,318/x
  3. Step 3: Cross multiply
    316,728x = 672,318 × 672,318
  4. Step 4: Simplify right side
    316,728x = 452,011,493,124
  5. Step 5: Solve for x
    x = 452,011,493,124/316,728
  6. Step 6: Final answer
    x = 1,427,128.30

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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.