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Finding the Third Proportional to 319.13 and 482.06

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Solution

The third proportional to 319.13 and 482.06 is: 728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.13 : 482.06 = 482.06 : x
  2. Step 2: Convert to fraction form
    319.13/482.06 = 482.06/x
  3. Step 3: Cross multiply
    319.13x = 482.06 × 482.06
  4. Step 4: Simplify right side
    319.13x = 232,384.25
  5. Step 5: Solve for x
    x = 232,384.25/319.13
  6. Step 6: Final answer
    x = 728.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.