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Finding the Third Proportional to 219,699 and 481,431

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Solution

The third proportional to 219,699 and 481,431 is: 1,054,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,699 : 481,431 = 481,431 : x
  2. Step 2: Convert to fraction form
    219,699/481,431 = 481,431/x
  3. Step 3: Cross multiply
    219,699x = 481,431 × 481,431
  4. Step 4: Simplify right side
    219,699x = 231,775,807,761
  5. Step 5: Solve for x
    x = 231,775,807,761/219,699
  6. Step 6: Final answer
    x = 1,054,969.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.