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Finding the Third Proportional to 294,992 and 643,564

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Solution

The third proportional to 294,992 and 643,564 is: 1,404,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,992 : 643,564 = 643,564 : x
  2. Step 2: Convert to fraction form
    294,992/643,564 = 643,564/x
  3. Step 3: Cross multiply
    294,992x = 643,564 × 643,564
  4. Step 4: Simplify right side
    294,992x = 414,174,622,096
  5. Step 5: Solve for x
    x = 414,174,622,096/294,992
  6. Step 6: Final answer
    x = 1,404,019.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.