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Finding the Third Proportional to 315.56 and 482.34

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Solution

The third proportional to 315.56 and 482.34 is: 737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.56 : 482.34 = 482.34 : x
  2. Step 2: Convert to fraction form
    315.56/482.34 = 482.34/x
  3. Step 3: Cross multiply
    315.56x = 482.34 × 482.34
  4. Step 4: Simplify right side
    315.56x = 232,655.49
  5. Step 5: Solve for x
    x = 232,655.49/315.56
  6. Step 6: Final answer
    x = 737.27

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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.