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Finding the Third Proportional to 315.19 and 471.56

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Solution

The third proportional to 315.19 and 471.56 is: 705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.19 : 471.56 = 471.56 : x
  2. Step 2: Convert to fraction form
    315.19/471.56 = 471.56/x
  3. Step 3: Cross multiply
    315.19x = 471.56 × 471.56
  4. Step 4: Simplify right side
    315.19x = 222,371.19
  5. Step 5: Solve for x
    x = 222,371.19/315.19
  6. Step 6: Final answer
    x = 705.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.