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Finding the Third Proportional to 338.06 and 917.06

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Solution

The third proportional to 338.06 and 917.06 is: 2,487.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.06 : 917.06 = 917.06 : x
  2. Step 2: Convert to fraction form
    338.06/917.06 = 917.06/x
  3. Step 3: Cross multiply
    338.06x = 917.06 × 917.06
  4. Step 4: Simplify right side
    338.06x = 841,003.63
  5. Step 5: Solve for x
    x = 841,003.63/338.06
  6. Step 6: Final answer
    x = 2,487.72

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.