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Finding the Third Proportional to 313.49 and 478.58

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Solution

The third proportional to 313.49 and 478.58 is: 730.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.49 : 478.58 = 478.58 : x
  2. Step 2: Convert to fraction form
    313.49/478.58 = 478.58/x
  3. Step 3: Cross multiply
    313.49x = 478.58 × 478.58
  4. Step 4: Simplify right side
    313.49x = 229,040.76
  5. Step 5: Solve for x
    x = 229,040.76/313.49
  6. Step 6: Final answer
    x = 730.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.