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Finding the Third Proportional to 180.04 and 420.03

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Solution

The third proportional to 180.04 and 420.03 is: 979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.04 : 420.03 = 420.03 : x
  2. Step 2: Convert to fraction form
    180.04/420.03 = 420.03/x
  3. Step 3: Cross multiply
    180.04x = 420.03 × 420.03
  4. Step 4: Simplify right side
    180.04x = 176,424.61
  5. Step 5: Solve for x
    x = 176,424.61/180.04
  6. Step 6: Final answer
    x = 979.95

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.