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Finding the Third Proportional to 142.59 and 306.98

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Solution

The third proportional to 142.59 and 306.98 is: 660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.59 : 306.98 = 306.98 : x
  2. Step 2: Convert to fraction form
    142.59/306.98 = 306.98/x
  3. Step 3: Cross multiply
    142.59x = 306.98 × 306.98
  4. Step 4: Simplify right side
    142.59x = 94,239.41
  5. Step 5: Solve for x
    x = 94,239.41/142.59
  6. Step 6: Final answer
    x = 660.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.