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Finding the Third Proportional to 293,664 and 640,608

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Solution

The third proportional to 293,664 and 640,608 is: 1,397,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,664 : 640,608 = 640,608 : x
  2. Step 2: Convert to fraction form
    293,664/640,608 = 640,608/x
  3. Step 3: Cross multiply
    293,664x = 640,608 × 640,608
  4. Step 4: Simplify right side
    293,664x = 410,378,609,664
  5. Step 5: Solve for x
    x = 410,378,609,664/293,664
  6. Step 6: Final answer
    x = 1,397,442.69

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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.