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Finding the Third Proportional to 152.20 and 368.91

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Solution

The third proportional to 152.20 and 368.91 is: 894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.20 : 368.91 = 368.91 : x
  2. Step 2: Convert to fraction form
    152.20/368.91 = 368.91/x
  3. Step 3: Cross multiply
    152.20x = 368.91 × 368.91
  4. Step 4: Simplify right side
    152.20x = 136,091.82
  5. Step 5: Solve for x
    x = 136,091.82/152.20
  6. Step 6: Final answer
    x = 894.15

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.