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Finding the Third Proportional to 313.24 and 455.98

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Solution

The third proportional to 313.24 and 455.98 is: 663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.24 : 455.98 = 455.98 : x
  2. Step 2: Convert to fraction form
    313.24/455.98 = 455.98/x
  3. Step 3: Cross multiply
    313.24x = 455.98 × 455.98
  4. Step 4: Simplify right side
    313.24x = 207,918.63
  5. Step 5: Solve for x
    x = 207,918.63/313.24
  6. Step 6: Final answer
    x = 663.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.