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Finding the Third Proportional to 426.09 and 643.36

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Solution

The third proportional to 426.09 and 643.36 is: 971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.09 : 643.36 = 643.36 : x
  2. Step 2: Convert to fraction form
    426.09/643.36 = 643.36/x
  3. Step 3: Cross multiply
    426.09x = 643.36 × 643.36
  4. Step 4: Simplify right side
    426.09x = 413,911.29
  5. Step 5: Solve for x
    x = 413,911.29/426.09
  6. Step 6: Final answer
    x = 971.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.