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Finding the Third Proportional to 419.06 and 687.09

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Solution

The third proportional to 419.06 and 687.09 is: 1,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.06 : 687.09 = 687.09 : x
  2. Step 2: Convert to fraction form
    419.06/687.09 = 687.09/x
  3. Step 3: Cross multiply
    419.06x = 687.09 × 687.09
  4. Step 4: Simplify right side
    419.06x = 472,097.82
  5. Step 5: Solve for x
    x = 472,097.82/419.06
  6. Step 6: Final answer
    x = 1,126.56

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.