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Finding the Third Proportional to 300.47 and 420.05

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Solution

The third proportional to 300.47 and 420.05 is: 587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.47 : 420.05 = 420.05 : x
  2. Step 2: Convert to fraction form
    300.47/420.05 = 420.05/x
  3. Step 3: Cross multiply
    300.47x = 420.05 × 420.05
  4. Step 4: Simplify right side
    300.47x = 176,439.38
  5. Step 5: Solve for x
    x = 176,439.38/300.47
  6. Step 6: Final answer
    x = 587.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.