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Finding the Third Proportional to 444.56 and 972.75

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Solution

The third proportional to 444.56 and 972.75 is: 2,128.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.56 : 972.75 = 972.75 : x
  2. Step 2: Convert to fraction form
    444.56/972.75 = 972.75/x
  3. Step 3: Cross multiply
    444.56x = 972.75 × 972.75
  4. Step 4: Simplify right side
    444.56x = 946,242.56
  5. Step 5: Solve for x
    x = 946,242.56/444.56
  6. Step 6: Final answer
    x = 2,128.48

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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.