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Finding the Third Proportional to 320.01 and 449.40

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Solution

The third proportional to 320.01 and 449.40 is: 631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.01 : 449.40 = 449.40 : x
  2. Step 2: Convert to fraction form
    320.01/449.40 = 449.40/x
  3. Step 3: Cross multiply
    320.01x = 449.40 × 449.40
  4. Step 4: Simplify right side
    320.01x = 201,956.54
  5. Step 5: Solve for x
    x = 201,956.54/320.01
  6. Step 6: Final answer
    x = 631.10

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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.