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Finding the Third Proportional to 438.56 and 953.86

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Solution

The third proportional to 438.56 and 953.86 is: 2,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.56 : 953.86 = 953.86 : x
  2. Step 2: Convert to fraction form
    438.56/953.86 = 953.86/x
  3. Step 3: Cross multiply
    438.56x = 953.86 × 953.86
  4. Step 4: Simplify right side
    438.56x = 909,847.71
  5. Step 5: Solve for x
    x = 909,847.71/438.56
  6. Step 6: Final answer
    x = 2,074.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.