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Finding the Third Proportional to 486.63 and 1,066.29

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Solution

The third proportional to 486.63 and 1,066.29 is: 2,336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.63 : 1,066.29 = 1,066.29 : x
  2. Step 2: Convert to fraction form
    486.63/1,066.29 = 1,066.29/x
  3. Step 3: Cross multiply
    486.63x = 1,066.29 × 1,066.29
  4. Step 4: Simplify right side
    486.63x = 1,136,972.36
  5. Step 5: Solve for x
    x = 1,136,972.36/486.63
  6. Step 6: Final answer
    x = 2,336.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.