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Finding the Third Proportional to 293.88 and 430.39

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Solution

The third proportional to 293.88 and 430.39 is: 630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.88 : 430.39 = 430.39 : x
  2. Step 2: Convert to fraction form
    293.88/430.39 = 430.39/x
  3. Step 3: Cross multiply
    293.88x = 430.39 × 430.39
  4. Step 4: Simplify right side
    293.88x = 185,231.61
  5. Step 5: Solve for x
    x = 185,231.61/293.88
  6. Step 6: Final answer
    x = 630.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.