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Finding the Third Proportional to 1,690 and 3,701.50

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Solution

The third proportional to 1,690 and 3,701.50 is: 8,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690 : 3,701.50 = 3,701.50 : x
  2. Step 2: Convert to fraction form
    1,690/3,701.50 = 3,701.50/x
  3. Step 3: Cross multiply
    1,690x = 3,701.50 × 3,701.50
  4. Step 4: Simplify right side
    1,690x = 13,701,102.25
  5. Step 5: Solve for x
    x = 13,701,102.25/1,690
  6. Step 6: Final answer
    x = 8,107.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.