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Finding the Third Proportional to 1,865.81 and 2,615.20

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Solution

The third proportional to 1,865.81 and 2,615.20 is: 3,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.81 : 2,615.20 = 2,615.20 : x
  2. Step 2: Convert to fraction form
    1,865.81/2,615.20 = 2,615.20/x
  3. Step 3: Cross multiply
    1,865.81x = 2,615.20 × 2,615.20
  4. Step 4: Simplify right side
    1,865.81x = 6,839,287.39
  5. Step 5: Solve for x
    x = 6,839,287.39/1,865.81
  6. Step 6: Final answer
    x = 3,665.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.