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Finding the Third Proportional to 256.63 and 389.06

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Solution

The third proportional to 256.63 and 389.06 is: 589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.63 : 389.06 = 389.06 : x
  2. Step 2: Convert to fraction form
    256.63/389.06 = 389.06/x
  3. Step 3: Cross multiply
    256.63x = 389.06 × 389.06
  4. Step 4: Simplify right side
    256.63x = 151,369.63
  5. Step 5: Solve for x
    x = 151,369.63/256.63
  6. Step 6: Final answer
    x = 589.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.