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Finding the Third Proportional to 145.97 and 256.71

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Solution

The third proportional to 145.97 and 256.71 is: 451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.97 : 256.71 = 256.71 : x
  2. Step 2: Convert to fraction form
    145.97/256.71 = 256.71/x
  3. Step 3: Cross multiply
    145.97x = 256.71 × 256.71
  4. Step 4: Simplify right side
    145.97x = 65,900.51
  5. Step 5: Solve for x
    x = 65,900.51/145.97
  6. Step 6: Final answer
    x = 451.47

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.