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Finding the Third Proportional to 313,344 and 643,276

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Solution

The third proportional to 313,344 and 643,276 is: 1,320,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,344 : 643,276 = 643,276 : x
  2. Step 2: Convert to fraction form
    313,344/643,276 = 643,276/x
  3. Step 3: Cross multiply
    313,344x = 643,276 × 643,276
  4. Step 4: Simplify right side
    313,344x = 413,804,012,176
  5. Step 5: Solve for x
    x = 413,804,012,176/313,344
  6. Step 6: Final answer
    x = 1,320,606.15

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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.