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Finding the Third Proportional to 56.38 and 121.63

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Solution

The third proportional to 56.38 and 121.63 is: 262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.38 : 121.63 = 121.63 : x
  2. Step 2: Convert to fraction form
    56.38/121.63 = 121.63/x
  3. Step 3: Cross multiply
    56.38x = 121.63 × 121.63
  4. Step 4: Simplify right side
    56.38x = 14,792.64
  5. Step 5: Solve for x
    x = 14,792.64/56.38
  6. Step 6: Final answer
    x = 262.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.