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Finding the Third Proportional to 431.81 and 942.70

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Solution

The third proportional to 431.81 and 942.70 is: 2,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.81 : 942.70 = 942.70 : x
  2. Step 2: Convert to fraction form
    431.81/942.70 = 942.70/x
  3. Step 3: Cross multiply
    431.81x = 942.70 × 942.70
  4. Step 4: Simplify right side
    431.81x = 888,689.18
  5. Step 5: Solve for x
    x = 888,689.18/431.81
  6. Step 6: Final answer
    x = 2,058.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.