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Finding the Third Proportional to 645.47 and 1,412.44

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Solution

The third proportional to 645.47 and 1,412.44 is: 3,090.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.47 : 1,412.44 = 1,412.44 : x
  2. Step 2: Convert to fraction form
    645.47/1,412.44 = 1,412.44/x
  3. Step 3: Cross multiply
    645.47x = 1,412.44 × 1,412.44
  4. Step 4: Simplify right side
    645.47x = 1,994,979.69
  5. Step 5: Solve for x
    x = 1,994,979.69/645.47
  6. Step 6: Final answer
    x = 3,090.75

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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.