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Finding the Third Proportional to 293.34 and 438.47

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Solution

The third proportional to 293.34 and 438.47 is: 655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.34 : 438.47 = 438.47 : x
  2. Step 2: Convert to fraction form
    293.34/438.47 = 438.47/x
  3. Step 3: Cross multiply
    293.34x = 438.47 × 438.47
  4. Step 4: Simplify right side
    293.34x = 192,254.84
  5. Step 5: Solve for x
    x = 192,254.84/293.34
  6. Step 6: Final answer
    x = 655.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.