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Finding the Third Proportional to 580,394 and 821,991

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Solution

The third proportional to 580,394 and 821,991 is: 1,164,156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,394 : 821,991 = 821,991 : x
  2. Step 2: Convert to fraction form
    580,394/821,991 = 821,991/x
  3. Step 3: Cross multiply
    580,394x = 821,991 × 821,991
  4. Step 4: Simplify right side
    580,394x = 675,669,204,081
  5. Step 5: Solve for x
    x = 675,669,204,081/580,394
  6. Step 6: Final answer
    x = 1,164,156.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.