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Finding the Third Proportional to 293,828 and 643,024

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Solution

The third proportional to 293,828 and 643,024 is: 1,407,217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,828 : 643,024 = 643,024 : x
  2. Step 2: Convert to fraction form
    293,828/643,024 = 643,024/x
  3. Step 3: Cross multiply
    293,828x = 643,024 × 643,024
  4. Step 4: Simplify right side
    293,828x = 413,479,864,576
  5. Step 5: Solve for x
    x = 413,479,864,576/293,828
  6. Step 6: Final answer
    x = 1,407,217.37

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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.