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Finding the Third Proportional to 443,122,205 and 1,025,747,720

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Solution

The third proportional to 443,122,205 and 1,025,747,720 is: 2,374,420,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,122,205 : 1,025,747,720 = 1,025,747,720 : x
  2. Step 2: Convert to fraction form
    443,122,205/1,025,747,720 = 1,025,747,720/x
  3. Step 3: Cross multiply
    443,122,205x = 1,025,747,720 × 1,025,747,720
  4. Step 4: Simplify right side
    443,122,205x = 1,052,158,385,085,198,336
  5. Step 5: Solve for x
    x = 1,052,158,385,085,198,336/443,122,205
  6. Step 6: Final answer
    x = 2,374,420,359.02

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.