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Finding the Third Proportional to 1,154.25 and 2,489.48

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Solution

The third proportional to 1,154.25 and 2,489.48 is: 5,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.25 : 2,489.48 = 2,489.48 : x
  2. Step 2: Convert to fraction form
    1,154.25/2,489.48 = 2,489.48/x
  3. Step 3: Cross multiply
    1,154.25x = 2,489.48 × 2,489.48
  4. Step 4: Simplify right side
    1,154.25x = 6,197,532.45
  5. Step 5: Solve for x
    x = 6,197,532.45/1,154.25
  6. Step 6: Final answer
    x = 5,369.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.