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Finding the Third Proportional to 142.94 and 246.47

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Solution

The third proportional to 142.94 and 246.47 is: 424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.94 : 246.47 = 246.47 : x
  2. Step 2: Convert to fraction form
    142.94/246.47 = 246.47/x
  3. Step 3: Cross multiply
    142.94x = 246.47 × 246.47
  4. Step 4: Simplify right side
    142.94x = 60,746.84
  5. Step 5: Solve for x
    x = 60,746.84/142.94
  6. Step 6: Final answer
    x = 424.99

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.