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Finding the Third Proportional to 293,378 and 642,856

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Solution

The third proportional to 293,378 and 642,856 is: 1,408,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,378 : 642,856 = 642,856 : x
  2. Step 2: Convert to fraction form
    293,378/642,856 = 642,856/x
  3. Step 3: Cross multiply
    293,378x = 642,856 × 642,856
  4. Step 4: Simplify right side
    293,378x = 413,263,836,736
  5. Step 5: Solve for x
    x = 413,263,836,736/293,378
  6. Step 6: Final answer
    x = 1,408,639.49

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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.