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Finding the Third Proportional to 67,036,475 and 143,993,911

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Solution

The third proportional to 67,036,475 and 143,993,911 is: 309,297,981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,036,475 : 143,993,911 = 143,993,911 : x
  2. Step 2: Convert to fraction form
    67,036,475/143,993,911 = 143,993,911/x
  3. Step 3: Cross multiply
    67,036,475x = 143,993,911 × 143,993,911
  4. Step 4: Simplify right side
    67,036,475x = 20,734,246,405,075,920
  5. Step 5: Solve for x
    x = 20,734,246,405,075,920/67,036,475
  6. Step 6: Final answer
    x = 309,297,981.51

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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.