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Finding the Third Proportional to 1,585.13 and 3,812.63

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Solution

The third proportional to 1,585.13 and 3,812.63 is: 9,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.13 : 3,812.63 = 3,812.63 : x
  2. Step 2: Convert to fraction form
    1,585.13/3,812.63 = 3,812.63/x
  3. Step 3: Cross multiply
    1,585.13x = 3,812.63 × 3,812.63
  4. Step 4: Simplify right side
    1,585.13x = 14,536,109.39
  5. Step 5: Solve for x
    x = 14,536,109.39/1,585.13
  6. Step 6: Final answer
    x = 9,170.32

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.