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Finding the Third Proportional to 456.47 and 995.34

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Solution

The third proportional to 456.47 and 995.34 is: 2,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.47 : 995.34 = 995.34 : x
  2. Step 2: Convert to fraction form
    456.47/995.34 = 995.34/x
  3. Step 3: Cross multiply
    456.47x = 995.34 × 995.34
  4. Step 4: Simplify right side
    456.47x = 990,709.18
  5. Step 5: Solve for x
    x = 990,709.18/456.47
  6. Step 6: Final answer
    x = 2,170.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.