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Finding the Third Proportional to 816,969 and 1,259,906

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Solution

The third proportional to 816,969 and 1,259,906 is: 1,942,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,969 : 1,259,906 = 1,259,906 : x
  2. Step 2: Convert to fraction form
    816,969/1,259,906 = 1,259,906/x
  3. Step 3: Cross multiply
    816,969x = 1,259,906 × 1,259,906
  4. Step 4: Simplify right side
    816,969x = 1,587,363,128,836
  5. Step 5: Solve for x
    x = 1,587,363,128,836/816,969
  6. Step 6: Final answer
    x = 1,942,990.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.