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Finding the Third Proportional to 555,958 and 831,446

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Solution

The third proportional to 555,958 and 831,446 is: 1,243,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,958 : 831,446 = 831,446 : x
  2. Step 2: Convert to fraction form
    555,958/831,446 = 831,446/x
  3. Step 3: Cross multiply
    555,958x = 831,446 × 831,446
  4. Step 4: Simplify right side
    555,958x = 691,302,450,916
  5. Step 5: Solve for x
    x = 691,302,450,916/555,958
  6. Step 6: Final answer
    x = 1,243,443.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.