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Finding the Third Proportional to 290,734,440.75 and 637,958,475.56

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Solution

The third proportional to 290,734,440.75 and 637,958,475.56 is: 1,399,872,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,734,440.75 : 637,958,475.56 = 637,958,475.56 : x
  2. Step 2: Convert to fraction form
    290,734,440.75/637,958,475.56 = 637,958,475.56/x
  3. Step 3: Cross multiply
    290,734,440.75x = 637,958,475.56 × 637,958,475.56
  4. Step 4: Simplify right side
    290,734,440.75x = 406,991,016,542,028,928
  5. Step 5: Solve for x
    x = 406,991,016,542,028,928/290,734,440.75
  6. Step 6: Final answer
    x = 1,399,872,046.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.