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Finding the Third Proportional to 1,690.69 and 2,529.28

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Solution

The third proportional to 1,690.69 and 2,529.28 is: 3,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.69 : 2,529.28 = 2,529.28 : x
  2. Step 2: Convert to fraction form
    1,690.69/2,529.28 = 2,529.28/x
  3. Step 3: Cross multiply
    1,690.69x = 2,529.28 × 2,529.28
  4. Step 4: Simplify right side
    1,690.69x = 6,397,263.64
  5. Step 5: Solve for x
    x = 6,397,263.64/1,690.69
  6. Step 6: Final answer
    x = 3,783.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.