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Finding the Third Proportional to 256.13 and 406.88

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Solution

The third proportional to 256.13 and 406.88 is: 646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.13 : 406.88 = 406.88 : x
  2. Step 2: Convert to fraction form
    256.13/406.88 = 406.88/x
  3. Step 3: Cross multiply
    256.13x = 406.88 × 406.88
  4. Step 4: Simplify right side
    256.13x = 165,547.27
  5. Step 5: Solve for x
    x = 165,547.27/256.13
  6. Step 6: Final answer
    x = 646.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.