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Finding the Third Proportional to 103,633 and 122,770

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Solution

The third proportional to 103,633 and 122,770 is: 145,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633 : 122,770 = 122,770 : x
  2. Step 2: Convert to fraction form
    103,633/122,770 = 122,770/x
  3. Step 3: Cross multiply
    103,633x = 122,770 × 122,770
  4. Step 4: Simplify right side
    103,633x = 15,072,472,900
  5. Step 5: Solve for x
    x = 15,072,472,900/103,633
  6. Step 6: Final answer
    x = 145,440.86

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.