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Finding the Third Proportional to 142.36 and 260.99

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Solution

The third proportional to 142.36 and 260.99 is: 478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.36 : 260.99 = 260.99 : x
  2. Step 2: Convert to fraction form
    142.36/260.99 = 260.99/x
  3. Step 3: Cross multiply
    142.36x = 260.99 × 260.99
  4. Step 4: Simplify right side
    142.36x = 68,116.34
  5. Step 5: Solve for x
    x = 68,116.34/142.36
  6. Step 6: Final answer
    x = 478.48

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.