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Finding the Third Proportional to 173,905 and 276,638

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Solution

The third proportional to 173,905 and 276,638 is: 440,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,905 : 276,638 = 276,638 : x
  2. Step 2: Convert to fraction form
    173,905/276,638 = 276,638/x
  3. Step 3: Cross multiply
    173,905x = 276,638 × 276,638
  4. Step 4: Simplify right side
    173,905x = 76,528,583,044
  5. Step 5: Solve for x
    x = 76,528,583,044/173,905
  6. Step 6: Final answer
    x = 440,059.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.