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Finding the Third Proportional to 145.94 and 319.29

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Solution

The third proportional to 145.94 and 319.29 is: 698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.94 : 319.29 = 319.29 : x
  2. Step 2: Convert to fraction form
    145.94/319.29 = 319.29/x
  3. Step 3: Cross multiply
    145.94x = 319.29 × 319.29
  4. Step 4: Simplify right side
    145.94x = 101,948.31
  5. Step 5: Solve for x
    x = 101,948.31/145.94
  6. Step 6: Final answer
    x = 698.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.