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Finding the Third Proportional to 311,660 and 672,526

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Solution

The third proportional to 311,660 and 672,526 is: 1,451,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,660 : 672,526 = 672,526 : x
  2. Step 2: Convert to fraction form
    311,660/672,526 = 672,526/x
  3. Step 3: Cross multiply
    311,660x = 672,526 × 672,526
  4. Step 4: Simplify right side
    311,660x = 452,291,220,676
  5. Step 5: Solve for x
    x = 452,291,220,676/311,660
  6. Step 6: Final answer
    x = 1,451,232.82

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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.