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Finding the Third Proportional to 1,577.81 and 4,286.25

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Solution

The third proportional to 1,577.81 and 4,286.25 is: 11,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.81 : 4,286.25 = 4,286.25 : x
  2. Step 2: Convert to fraction form
    1,577.81/4,286.25 = 4,286.25/x
  3. Step 3: Cross multiply
    1,577.81x = 4,286.25 × 4,286.25
  4. Step 4: Simplify right side
    1,577.81x = 18,371,939.06
  5. Step 5: Solve for x
    x = 18,371,939.06/1,577.81
  6. Step 6: Final answer
    x = 11,643.93

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.