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Finding the Third Proportional to 809,534 and 1,207,740

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Solution

The third proportional to 809,534 and 1,207,740 is: 1,801,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,534 : 1,207,740 = 1,207,740 : x
  2. Step 2: Convert to fraction form
    809,534/1,207,740 = 1,207,740/x
  3. Step 3: Cross multiply
    809,534x = 1,207,740 × 1,207,740
  4. Step 4: Simplify right side
    809,534x = 1,458,635,907,600
  5. Step 5: Solve for x
    x = 1,458,635,907,600/809,534
  6. Step 6: Final answer
    x = 1,801,821.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.