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Finding the Third Proportional to 809,868 and 1,287,138

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Solution

The third proportional to 809,868 and 1,287,138 is: 2,045,671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,868 : 1,287,138 = 1,287,138 : x
  2. Step 2: Convert to fraction form
    809,868/1,287,138 = 1,287,138/x
  3. Step 3: Cross multiply
    809,868x = 1,287,138 × 1,287,138
  4. Step 4: Simplify right side
    809,868x = 1,656,724,231,044
  5. Step 5: Solve for x
    x = 1,656,724,231,044/809,868
  6. Step 6: Final answer
    x = 2,045,671.93

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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.