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Finding the Third Proportional to 1,685.87 and 2,552.23

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Solution

The third proportional to 1,685.87 and 2,552.23 is: 3,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.87 : 2,552.23 = 2,552.23 : x
  2. Step 2: Convert to fraction form
    1,685.87/2,552.23 = 2,552.23/x
  3. Step 3: Cross multiply
    1,685.87x = 2,552.23 × 2,552.23
  4. Step 4: Simplify right side
    1,685.87x = 6,513,897.81
  5. Step 5: Solve for x
    x = 6,513,897.81/1,685.87
  6. Step 6: Final answer
    x = 3,863.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.