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Finding the Third Proportional to 311,651 and 666,502

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Solution

The third proportional to 311,651 and 666,502 is: 1,425,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,651 : 666,502 = 666,502 : x
  2. Step 2: Convert to fraction form
    311,651/666,502 = 666,502/x
  3. Step 3: Cross multiply
    311,651x = 666,502 × 666,502
  4. Step 4: Simplify right side
    311,651x = 444,224,916,004
  5. Step 5: Solve for x
    x = 444,224,916,004/311,651
  6. Step 6: Final answer
    x = 1,425,392.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.