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Finding the Third Proportional to 809,724 and 1,286,676

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Solution

The third proportional to 809,724 and 1,286,676 is: 2,044,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,724 : 1,286,676 = 1,286,676 : x
  2. Step 2: Convert to fraction form
    809,724/1,286,676 = 1,286,676/x
  3. Step 3: Cross multiply
    809,724x = 1,286,676 × 1,286,676
  4. Step 4: Simplify right side
    809,724x = 1,655,535,128,976
  5. Step 5: Solve for x
    x = 1,655,535,128,976/809,724
  6. Step 6: Final answer
    x = 2,044,567.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.