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Finding the Third Proportional to 292.81 and 442.31

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Solution

The third proportional to 292.81 and 442.31 is: 668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.81 : 442.31 = 442.31 : x
  2. Step 2: Convert to fraction form
    292.81/442.31 = 442.31/x
  3. Step 3: Cross multiply
    292.81x = 442.31 × 442.31
  4. Step 4: Simplify right side
    292.81x = 195,640.35
  5. Step 5: Solve for x
    x = 195,640.35/292.81
  6. Step 6: Final answer
    x = 668.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.