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Finding the Third Proportional to 534,995 and 831,065

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Solution

The third proportional to 534,995 and 831,065 is: 1,290,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,995 : 831,065 = 831,065 : x
  2. Step 2: Convert to fraction form
    534,995/831,065 = 831,065/x
  3. Step 3: Cross multiply
    534,995x = 831,065 × 831,065
  4. Step 4: Simplify right side
    534,995x = 690,669,034,225
  5. Step 5: Solve for x
    x = 690,669,034,225/534,995
  6. Step 6: Final answer
    x = 1,290,982.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.