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Finding the Third Proportional to 455.16 and 976.69

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Solution

The third proportional to 455.16 and 976.69 is: 2,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.16 : 976.69 = 976.69 : x
  2. Step 2: Convert to fraction form
    455.16/976.69 = 976.69/x
  3. Step 3: Cross multiply
    455.16x = 976.69 × 976.69
  4. Step 4: Simplify right side
    455.16x = 953,918.47
  5. Step 5: Solve for x
    x = 953,918.47/455.16
  6. Step 6: Final answer
    x = 2,095.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.