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Finding the Third Proportional to 145.41 and 210.56

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Solution

The third proportional to 145.41 and 210.56 is: 304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.41 : 210.56 = 210.56 : x
  2. Step 2: Convert to fraction form
    145.41/210.56 = 210.56/x
  3. Step 3: Cross multiply
    145.41x = 210.56 × 210.56
  4. Step 4: Simplify right side
    145.41x = 44,336.57
  5. Step 5: Solve for x
    x = 44,336.57/145.41
  6. Step 6: Final answer
    x = 304.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.