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Finding the Third Proportional to 223,844,400 and 481,701,019.50

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Solution

The third proportional to 223,844,400 and 481,701,019.50 is: 1,036,594,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,844,400 : 481,701,019.50 = 481,701,019.50 : x
  2. Step 2: Convert to fraction form
    223,844,400/481,701,019.50 = 481,701,019.50/x
  3. Step 3: Cross multiply
    223,844,400x = 481,701,019.50 × 481,701,019.50
  4. Step 4: Simplify right side
    223,844,400x = 232,035,872,187,339,392
  5. Step 5: Solve for x
    x = 232,035,872,187,339,392/223,844,400
  6. Step 6: Final answer
    x = 1,036,594,492.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.