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Finding the Third Proportional to 211,097 and 315,592

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Solution

The third proportional to 211,097 and 315,592 is: 471,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,097 : 315,592 = 315,592 : x
  2. Step 2: Convert to fraction form
    211,097/315,592 = 315,592/x
  3. Step 3: Cross multiply
    211,097x = 315,592 × 315,592
  4. Step 4: Simplify right side
    211,097x = 99,598,310,464
  5. Step 5: Solve for x
    x = 99,598,310,464/211,097
  6. Step 6: Final answer
    x = 471,813.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.