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Finding the Third Proportional to 1,277.25 and 2,683.13

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Solution

The third proportional to 1,277.25 and 2,683.13 is: 5,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.25 : 2,683.13 = 2,683.13 : x
  2. Step 2: Convert to fraction form
    1,277.25/2,683.13 = 2,683.13/x
  3. Step 3: Cross multiply
    1,277.25x = 2,683.13 × 2,683.13
  4. Step 4: Simplify right side
    1,277.25x = 7,199,159.77
  5. Step 5: Solve for x
    x = 7,199,159.77/1,277.25
  6. Step 6: Final answer
    x = 5,636.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.