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Finding the Third Proportional to 319.63 and 440.13

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Solution

The third proportional to 319.63 and 440.13 is: 606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.63 : 440.13 = 440.13 : x
  2. Step 2: Convert to fraction form
    319.63/440.13 = 440.13/x
  3. Step 3: Cross multiply
    319.63x = 440.13 × 440.13
  4. Step 4: Simplify right side
    319.63x = 193,710.02
  5. Step 5: Solve for x
    x = 193,710.02/319.63
  6. Step 6: Final answer
    x = 606.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.