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Finding the Third Proportional to 396,669,646 and 857,077,220

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Solution

The third proportional to 396,669,646 and 857,077,220 is: 1,851,871,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,669,646 : 857,077,220 = 857,077,220 : x
  2. Step 2: Convert to fraction form
    396,669,646/857,077,220 = 857,077,220/x
  3. Step 3: Cross multiply
    396,669,646x = 857,077,220 × 857,077,220
  4. Step 4: Simplify right side
    396,669,646x = 734,581,361,042,928,384
  5. Step 5: Solve for x
    x = 734,581,361,042,928,384/396,669,646
  6. Step 6: Final answer
    x = 1,851,871,874.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.