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Finding the Third Proportional to 508,840 and 691,045

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Solution

The third proportional to 508,840 and 691,045 is: 938,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,840 : 691,045 = 691,045 : x
  2. Step 2: Convert to fraction form
    508,840/691,045 = 691,045/x
  3. Step 3: Cross multiply
    508,840x = 691,045 × 691,045
  4. Step 4: Simplify right side
    508,840x = 477,543,192,025
  5. Step 5: Solve for x
    x = 477,543,192,025/508,840
  6. Step 6: Final answer
    x = 938,493.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.