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Finding the Third Proportional to 292.69 and 438.28

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Solution

The third proportional to 292.69 and 438.28 is: 656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.69 : 438.28 = 438.28 : x
  2. Step 2: Convert to fraction form
    292.69/438.28 = 438.28/x
  3. Step 3: Cross multiply
    292.69x = 438.28 × 438.28
  4. Step 4: Simplify right side
    292.69x = 192,090.45
  5. Step 5: Solve for x
    x = 192,090.45/292.69
  6. Step 6: Final answer
    x = 656.30

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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.