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Finding the Third Proportional to 767.53 and 1,215.42

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Solution

The third proportional to 767.53 and 1,215.42 is: 1,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.53 : 1,215.42 = 1,215.42 : x
  2. Step 2: Convert to fraction form
    767.53/1,215.42 = 1,215.42/x
  3. Step 3: Cross multiply
    767.53x = 1,215.42 × 1,215.42
  4. Step 4: Simplify right side
    767.53x = 1,477,250.33
  5. Step 5: Solve for x
    x = 1,477,250.33/767.53
  6. Step 6: Final answer
    x = 1,924.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.