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Finding the Third Proportional to 70.77 and 152.93

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Solution

The third proportional to 70.77 and 152.93 is: 330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.77 : 152.93 = 152.93 : x
  2. Step 2: Convert to fraction form
    70.77/152.93 = 152.93/x
  3. Step 3: Cross multiply
    70.77x = 152.93 × 152.93
  4. Step 4: Simplify right side
    70.77x = 23,387.49
  5. Step 5: Solve for x
    x = 23,387.49/70.77
  6. Step 6: Final answer
    x = 330.47

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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.