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Finding the Third Proportional to 134.83 and 288.89

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Solution

The third proportional to 134.83 and 288.89 is: 618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.83 : 288.89 = 288.89 : x
  2. Step 2: Convert to fraction form
    134.83/288.89 = 288.89/x
  3. Step 3: Cross multiply
    134.83x = 288.89 × 288.89
  4. Step 4: Simplify right side
    134.83x = 83,457.79
  5. Step 5: Solve for x
    x = 83,457.79/134.83
  6. Step 6: Final answer
    x = 618.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.