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Finding the Third Proportional to 486.25 and 1,066.98

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Solution

The third proportional to 486.25 and 1,066.98 is: 2,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.25 : 1,066.98 = 1,066.98 : x
  2. Step 2: Convert to fraction form
    486.25/1,066.98 = 1,066.98/x
  3. Step 3: Cross multiply
    486.25x = 1,066.98 × 1,066.98
  4. Step 4: Simplify right side
    486.25x = 1,138,455.66
  5. Step 5: Solve for x
    x = 1,138,455.66/486.25
  6. Step 6: Final answer
    x = 2,341.30

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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.