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Finding the Third Proportional to 455.45 and 983.57

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Solution

The third proportional to 455.45 and 983.57 is: 2,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.45 : 983.57 = 983.57 : x
  2. Step 2: Convert to fraction form
    455.45/983.57 = 983.57/x
  3. Step 3: Cross multiply
    455.45x = 983.57 × 983.57
  4. Step 4: Simplify right side
    455.45x = 967,402.88
  5. Step 5: Solve for x
    x = 967,402.88/455.45
  6. Step 6: Final answer
    x = 2,124.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.