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Finding the Third Proportional to 313,334 and 643,256

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Solution

The third proportional to 313,334 and 643,256 is: 1,320,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,334 : 643,256 = 643,256 : x
  2. Step 2: Convert to fraction form
    313,334/643,256 = 643,256/x
  3. Step 3: Cross multiply
    313,334x = 643,256 × 643,256
  4. Step 4: Simplify right side
    313,334x = 413,778,281,536
  5. Step 5: Solve for x
    x = 413,778,281,536/313,334
  6. Step 6: Final answer
    x = 1,320,566.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.