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Finding the Third Proportional to 631.88 and 942.94

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Solution

The third proportional to 631.88 and 942.94 is: 1,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.88 : 942.94 = 942.94 : x
  2. Step 2: Convert to fraction form
    631.88/942.94 = 942.94/x
  3. Step 3: Cross multiply
    631.88x = 942.94 × 942.94
  4. Step 4: Simplify right side
    631.88x = 889,131.13
  5. Step 5: Solve for x
    x = 889,131.13/631.88
  6. Step 6: Final answer
    x = 1,407.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.