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Finding the Third Proportional to 103,628 and 169,638

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Solution

The third proportional to 103,628 and 169,638 is: 277,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,628 : 169,638 = 169,638 : x
  2. Step 2: Convert to fraction form
    103,628/169,638 = 169,638/x
  3. Step 3: Cross multiply
    103,628x = 169,638 × 169,638
  4. Step 4: Simplify right side
    103,628x = 28,777,051,044
  5. Step 5: Solve for x
    x = 28,777,051,044/103,628
  6. Step 6: Final answer
    x = 277,695.71

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.