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Finding the Third Proportional to 142 and 306.88

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Solution

The third proportional to 142 and 306.88 is: 663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142 : 306.88 = 306.88 : x
  2. Step 2: Convert to fraction form
    142/306.88 = 306.88/x
  3. Step 3: Cross multiply
    142x = 306.88 × 306.88
  4. Step 4: Simplify right side
    142x = 94,172.27
  5. Step 5: Solve for x
    x = 94,172.27/142
  6. Step 6: Final answer
    x = 663.18

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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.