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Finding the Third Proportional to 290,734,449.19 and 637,958,493.28

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Solution

The third proportional to 290,734,449.19 and 637,958,493.28 is: 1,399,872,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,734,449.19 : 637,958,493.28 = 637,958,493.28 : x
  2. Step 2: Convert to fraction form
    290,734,449.19/637,958,493.28 = 637,958,493.28/x
  3. Step 3: Cross multiply
    290,734,449.19x = 637,958,493.28 × 637,958,493.28
  4. Step 4: Simplify right side
    290,734,449.19x = 406,991,039,149,682,688
  5. Step 5: Solve for x
    x = 406,991,039,149,682,688/290,734,449.19
  6. Step 6: Final answer
    x = 1,399,872,083.57

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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.