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Finding the Third Proportional to 1,328.91 and 1,685.81

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Solution

The third proportional to 1,328.91 and 1,685.81 is: 2,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.91 : 1,685.81 = 1,685.81 : x
  2. Step 2: Convert to fraction form
    1,328.91/1,685.81 = 1,685.81/x
  3. Step 3: Cross multiply
    1,328.91x = 1,685.81 × 1,685.81
  4. Step 4: Simplify right side
    1,328.91x = 2,841,963.79
  5. Step 5: Solve for x
    x = 2,841,963.79/1,328.91
  6. Step 6: Final answer
    x = 2,138.57

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.