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Finding the Third Proportional to 454.63 and 666.19

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Solution

The third proportional to 454.63 and 666.19 is: 976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.63 : 666.19 = 666.19 : x
  2. Step 2: Convert to fraction form
    454.63/666.19 = 666.19/x
  3. Step 3: Cross multiply
    454.63x = 666.19 × 666.19
  4. Step 4: Simplify right side
    454.63x = 443,805.79
  5. Step 5: Solve for x
    x = 443,805.79/454.63
  6. Step 6: Final answer
    x = 976.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.