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Finding the Third Proportional to 310,621.50 and 672,021

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Solution

The third proportional to 310,621.50 and 672,021 is: 1,453,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,621.50 : 672,021 = 672,021 : x
  2. Step 2: Convert to fraction form
    310,621.50/672,021 = 672,021/x
  3. Step 3: Cross multiply
    310,621.50x = 672,021 × 672,021
  4. Step 4: Simplify right side
    310,621.50x = 451,612,224,441
  5. Step 5: Solve for x
    x = 451,612,224,441/310,621.50
  6. Step 6: Final answer
    x = 1,453,898.79

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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.