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Finding the Third Proportional to 155.99 and 328.06

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Solution

The third proportional to 155.99 and 328.06 is: 689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.99 : 328.06 = 328.06 : x
  2. Step 2: Convert to fraction form
    155.99/328.06 = 328.06/x
  3. Step 3: Cross multiply
    155.99x = 328.06 × 328.06
  4. Step 4: Simplify right side
    155.99x = 107,623.72
  5. Step 5: Solve for x
    x = 107,623.72/155.99
  6. Step 6: Final answer
    x = 689.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.