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Finding the Third Proportional to 438.66 and 974.63

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Solution

The third proportional to 438.66 and 974.63 is: 2,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.66 : 974.63 = 974.63 : x
  2. Step 2: Convert to fraction form
    438.66/974.63 = 974.63/x
  3. Step 3: Cross multiply
    438.66x = 974.63 × 974.63
  4. Step 4: Simplify right side
    438.66x = 949,893.89
  5. Step 5: Solve for x
    x = 949,893.89/438.66
  6. Step 6: Final answer
    x = 2,165.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.