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Finding the Third Proportional to 316,734 and 672,330

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Solution

The third proportional to 316,734 and 672,330 is: 1,427,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,734 : 672,330 = 672,330 : x
  2. Step 2: Convert to fraction form
    316,734/672,330 = 672,330/x
  3. Step 3: Cross multiply
    316,734x = 672,330 × 672,330
  4. Step 4: Simplify right side
    316,734x = 452,027,628,900
  5. Step 5: Solve for x
    x = 452,027,628,900/316,734
  6. Step 6: Final answer
    x = 1,427,152.21

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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.