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Finding the Third Proportional to 454.78 and 986.34

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Solution

The third proportional to 454.78 and 986.34 is: 2,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.78 : 986.34 = 986.34 : x
  2. Step 2: Convert to fraction form
    454.78/986.34 = 986.34/x
  3. Step 3: Cross multiply
    454.78x = 986.34 × 986.34
  4. Step 4: Simplify right side
    454.78x = 972,873.99
  5. Step 5: Solve for x
    x = 972,873.99/454.78
  6. Step 6: Final answer
    x = 2,139.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.