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Finding the Third Proportional to 254.63 and 419.06

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Solution

The third proportional to 254.63 and 419.06 is: 689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.63 : 419.06 = 419.06 : x
  2. Step 2: Convert to fraction form
    254.63/419.06 = 419.06/x
  3. Step 3: Cross multiply
    254.63x = 419.06 × 419.06
  4. Step 4: Simplify right side
    254.63x = 175,613.38
  5. Step 5: Solve for x
    x = 175,613.38/254.63
  6. Step 6: Final answer
    x = 689.69

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.