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Finding the Third Proportional to 611,905 and 881,325

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Solution

The third proportional to 611,905 and 881,325 is: 1,269,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,905 : 881,325 = 881,325 : x
  2. Step 2: Convert to fraction form
    611,905/881,325 = 881,325/x
  3. Step 3: Cross multiply
    611,905x = 881,325 × 881,325
  4. Step 4: Simplify right side
    611,905x = 776,733,755,625
  5. Step 5: Solve for x
    x = 776,733,755,625/611,905
  6. Step 6: Final answer
    x = 1,269,369.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.