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Finding the Third Proportional to 643.93 and 1,409.59

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Solution

The third proportional to 643.93 and 1,409.59 is: 3,085.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.93 : 1,409.59 = 1,409.59 : x
  2. Step 2: Convert to fraction form
    643.93/1,409.59 = 1,409.59/x
  3. Step 3: Cross multiply
    643.93x = 1,409.59 × 1,409.59
  4. Step 4: Simplify right side
    643.93x = 1,986,943.53
  5. Step 5: Solve for x
    x = 1,986,943.53/643.93
  6. Step 6: Final answer
    x = 3,085.67

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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.