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Finding the Third Proportional to 384.12 and 917.26

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Solution

The third proportional to 384.12 and 917.26 is: 2,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.12 : 917.26 = 917.26 : x
  2. Step 2: Convert to fraction form
    384.12/917.26 = 917.26/x
  3. Step 3: Cross multiply
    384.12x = 917.26 × 917.26
  4. Step 4: Simplify right side
    384.12x = 841,369.06
  5. Step 5: Solve for x
    x = 841,369.06/384.12
  6. Step 6: Final answer
    x = 2,190.40

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.