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Finding the Third Proportional to 103,698 and 158,823

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Solution

The third proportional to 103,698 and 158,823 is: 243,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698 : 158,823 = 158,823 : x
  2. Step 2: Convert to fraction form
    103,698/158,823 = 158,823/x
  3. Step 3: Cross multiply
    103,698x = 158,823 × 158,823
  4. Step 4: Simplify right side
    103,698x = 25,224,745,329
  5. Step 5: Solve for x
    x = 25,224,745,329/103,698
  6. Step 6: Final answer
    x = 243,251.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.