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Finding the Third Proportional to 383,943,031 and 618,274,738.50

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Solution

The third proportional to 383,943,031 and 618,274,738.50 is: 995,625,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,943,031 : 618,274,738.50 = 618,274,738.50 : x
  2. Step 2: Convert to fraction form
    383,943,031/618,274,738.50 = 618,274,738.50/x
  3. Step 3: Cross multiply
    383,943,031x = 618,274,738.50 × 618,274,738.50
  4. Step 4: Simplify right side
    383,943,031x = 382,263,652,267,243,392
  5. Step 5: Solve for x
    x = 382,263,652,267,243,392/383,943,031
  6. Step 6: Final answer
    x = 995,625,968.97

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.