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Finding the Third Proportional to 203,828,213.11 and 311,670,387.98

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Solution

The third proportional to 203,828,213.11 and 311,670,387.98 is: 476,570,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,828,213.11 : 311,670,387.98 = 311,670,387.98 : x
  2. Step 2: Convert to fraction form
    203,828,213.11/311,670,387.98 = 311,670,387.98/x
  3. Step 3: Cross multiply
    203,828,213.11x = 311,670,387.98 × 311,670,387.98
  4. Step 4: Simplify right side
    203,828,213.11x = 97,138,430,746,333,968
  5. Step 5: Solve for x
    x = 97,138,430,746,333,968/203,828,213.11
  6. Step 6: Final answer
    x = 476,570,094.32

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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.