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Finding the Third Proportional to 455.06 and 985.78

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Solution

The third proportional to 455.06 and 985.78 is: 2,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.06 : 985.78 = 985.78 : x
  2. Step 2: Convert to fraction form
    455.06/985.78 = 985.78/x
  3. Step 3: Cross multiply
    455.06x = 985.78 × 985.78
  4. Step 4: Simplify right side
    455.06x = 971,764.67
  5. Step 5: Solve for x
    x = 971,764.67/455.06
  6. Step 6: Final answer
    x = 2,135.45

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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.