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Finding the Third Proportional to 103,639 and 122,563

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Solution

The third proportional to 103,639 and 122,563 is: 144,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,639 : 122,563 = 122,563 : x
  2. Step 2: Convert to fraction form
    103,639/122,563 = 122,563/x
  3. Step 3: Cross multiply
    103,639x = 122,563 × 122,563
  4. Step 4: Simplify right side
    103,639x = 15,021,688,969
  5. Step 5: Solve for x
    x = 15,021,688,969/103,639
  6. Step 6: Final answer
    x = 144,942.43

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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.