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Finding the Third Proportional to 788.63 and 1,639.69

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Solution

The third proportional to 788.63 and 1,639.69 is: 3,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.63 : 1,639.69 = 1,639.69 : x
  2. Step 2: Convert to fraction form
    788.63/1,639.69 = 1,639.69/x
  3. Step 3: Cross multiply
    788.63x = 1,639.69 × 1,639.69
  4. Step 4: Simplify right side
    788.63x = 2,688,575.10
  5. Step 5: Solve for x
    x = 2,688,575.10/788.63
  6. Step 6: Final answer
    x = 3,409.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.