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Finding the Third Proportional to 845.44 and 910.13

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Solution

The third proportional to 845.44 and 910.13 is: 979.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.44 : 910.13 = 910.13 : x
  2. Step 2: Convert to fraction form
    845.44/910.13 = 910.13/x
  3. Step 3: Cross multiply
    845.44x = 910.13 × 910.13
  4. Step 4: Simplify right side
    845.44x = 828,327.52
  5. Step 5: Solve for x
    x = 828,327.52/845.44
  6. Step 6: Final answer
    x = 979.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.