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Finding the Third Proportional to 942.10 and 2,066.45

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Solution

The third proportional to 942.10 and 2,066.45 is: 4,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.10 : 2,066.45 = 2,066.45 : x
  2. Step 2: Convert to fraction form
    942.10/2,066.45 = 2,066.45/x
  3. Step 3: Cross multiply
    942.10x = 2,066.45 × 2,066.45
  4. Step 4: Simplify right side
    942.10x = 4,270,212.37
  5. Step 5: Solve for x
    x = 4,270,212.37/942.10
  6. Step 6: Final answer
    x = 4,532.65

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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.