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Finding the Third Proportional to 1,990,350,798 and 2,946,361,401

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Solution

The third proportional to 1,990,350,798 and 2,946,361,401 is: 4,361,565,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990,350,798 : 2,946,361,401 = 2,946,361,401 : x
  2. Step 2: Convert to fraction form
    1,990,350,798/2,946,361,401 = 2,946,361,401/x
  3. Step 3: Cross multiply
    1,990,350,798x = 2,946,361,401 × 2,946,361,401
  4. Step 4: Simplify right side
    1,990,350,798x = 8,681,045,505,302,682,624
  5. Step 5: Solve for x
    x = 8,681,045,505,302,682,624/1,990,350,798
  6. Step 6: Final answer
    x = 4,361,565,566.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.