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Finding the Third Proportional to 474,138 and 727,055

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Solution

The third proportional to 474,138 and 727,055 is: 1,114,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,138 : 727,055 = 727,055 : x
  2. Step 2: Convert to fraction form
    474,138/727,055 = 727,055/x
  3. Step 3: Cross multiply
    474,138x = 727,055 × 727,055
  4. Step 4: Simplify right side
    474,138x = 528,608,973,025
  5. Step 5: Solve for x
    x = 528,608,973,025/474,138
  6. Step 6: Final answer
    x = 1,114,884.22

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.