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Finding the Third Proportional to 666.75 and 924.25

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Solution

The third proportional to 666.75 and 924.25 is: 1,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.75 : 924.25 = 924.25 : x
  2. Step 2: Convert to fraction form
    666.75/924.25 = 924.25/x
  3. Step 3: Cross multiply
    666.75x = 924.25 × 924.25
  4. Step 4: Simplify right side
    666.75x = 854,238.06
  5. Step 5: Solve for x
    x = 854,238.06/666.75
  6. Step 6: Final answer
    x = 1,281.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.