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Finding the Third Proportional to 103,640 and 169,656

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Solution

The third proportional to 103,640 and 169,656 is: 277,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640 : 169,656 = 169,656 : x
  2. Step 2: Convert to fraction form
    103,640/169,656 = 169,656/x
  3. Step 3: Cross multiply
    103,640x = 169,656 × 169,656
  4. Step 4: Simplify right side
    103,640x = 28,783,158,336
  5. Step 5: Solve for x
    x = 28,783,158,336/103,640
  6. Step 6: Final answer
    x = 277,722.48

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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.