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Finding the Third Proportional to 319.15 and 488.00

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Solution

The third proportional to 319.15 and 488.00 is: 746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.15 : 488.00 = 488.00 : x
  2. Step 2: Convert to fraction form
    319.15/488.00 = 488.00/x
  3. Step 3: Cross multiply
    319.15x = 488.00 × 488.00
  4. Step 4: Simplify right side
    319.15x = 238,147.81
  5. Step 5: Solve for x
    x = 238,147.81/319.15
  6. Step 6: Final answer
    x = 746.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.