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Finding the Third Proportional to 557,760 and 837,912

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Solution

The third proportional to 557,760 and 837,912 is: 1,258,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,760 : 837,912 = 837,912 : x
  2. Step 2: Convert to fraction form
    557,760/837,912 = 837,912/x
  3. Step 3: Cross multiply
    557,760x = 837,912 × 837,912
  4. Step 4: Simplify right side
    557,760x = 702,096,519,744
  5. Step 5: Solve for x
    x = 702,096,519,744/557,760
  6. Step 6: Final answer
    x = 1,258,778.90

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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.