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Finding the Third Proportional to 145.13 and 256.78

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Solution

The third proportional to 145.13 and 256.78 is: 454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 256.78 = 256.78 : x
  2. Step 2: Convert to fraction form
    145.13/256.78 = 256.78/x
  3. Step 3: Cross multiply
    145.13x = 256.78 × 256.78
  4. Step 4: Simplify right side
    145.13x = 65,936.61
  5. Step 5: Solve for x
    x = 65,936.61/145.13
  6. Step 6: Final answer
    x = 454.34

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.