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Finding the Third Proportional to 311,748.75 and 672,705

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Solution

The third proportional to 311,748.75 and 672,705 is: 1,451,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,748.75 : 672,705 = 672,705 : x
  2. Step 2: Convert to fraction form
    311,748.75/672,705 = 672,705/x
  3. Step 3: Cross multiply
    311,748.75x = 672,705 × 672,705
  4. Step 4: Simplify right side
    311,748.75x = 452,532,017,025
  5. Step 5: Solve for x
    x = 452,532,017,025/311,748.75
  6. Step 6: Final answer
    x = 1,451,592.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.