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Finding the Third Proportional to 153.19 and 325.22

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Solution

The third proportional to 153.19 and 325.22 is: 690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.19 : 325.22 = 325.22 : x
  2. Step 2: Convert to fraction form
    153.19/325.22 = 325.22/x
  3. Step 3: Cross multiply
    153.19x = 325.22 × 325.22
  4. Step 4: Simplify right side
    153.19x = 105,767.24
  5. Step 5: Solve for x
    x = 105,767.24/153.19
  6. Step 6: Final answer
    x = 690.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.