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Finding the Third Proportional to 342,630 and 789,669

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Solution

The third proportional to 342,630 and 789,669 is: 1,819,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,630 : 789,669 = 789,669 : x
  2. Step 2: Convert to fraction form
    342,630/789,669 = 789,669/x
  3. Step 3: Cross multiply
    342,630x = 789,669 × 789,669
  4. Step 4: Simplify right side
    342,630x = 623,577,129,561
  5. Step 5: Solve for x
    x = 623,577,129,561/342,630
  6. Step 6: Final answer
    x = 1,819,972.36

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.