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Finding the Third Proportional to 443.95 and 976.08

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Solution

The third proportional to 443.95 and 976.08 is: 2,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.95 : 976.08 = 976.08 : x
  2. Step 2: Convert to fraction form
    443.95/976.08 = 976.08/x
  3. Step 3: Cross multiply
    443.95x = 976.08 × 976.08
  4. Step 4: Simplify right side
    443.95x = 952,728.51
  5. Step 5: Solve for x
    x = 952,728.51/443.95
  6. Step 6: Final answer
    x = 2,146.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.