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Finding the Third Proportional to 661.36 and 1,277.16

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Solution

The third proportional to 661.36 and 1,277.16 is: 2,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.36 : 1,277.16 = 1,277.16 : x
  2. Step 2: Convert to fraction form
    661.36/1,277.16 = 1,277.16/x
  3. Step 3: Cross multiply
    661.36x = 1,277.16 × 1,277.16
  4. Step 4: Simplify right side
    661.36x = 1,631,128.09
  5. Step 5: Solve for x
    x = 1,631,128.09/661.36
  6. Step 6: Final answer
    x = 2,466.33

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.