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Finding the Third Proportional to 643.10 and 1,406.74

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Solution

The third proportional to 643.10 and 1,406.74 is: 3,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.10 : 1,406.74 = 1,406.74 : x
  2. Step 2: Convert to fraction form
    643.10/1,406.74 = 1,406.74/x
  3. Step 3: Cross multiply
    643.10x = 1,406.74 × 1,406.74
  4. Step 4: Simplify right side
    643.10x = 1,978,923.58
  5. Step 5: Solve for x
    x = 1,978,923.58/643.10
  6. Step 6: Final answer
    x = 3,077.18

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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.