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Finding the Third Proportional to 103,678 and 155,913

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Solution

The third proportional to 103,678 and 155,913 is: 234,465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,678 : 155,913 = 155,913 : x
  2. Step 2: Convert to fraction form
    103,678/155,913 = 155,913/x
  3. Step 3: Cross multiply
    103,678x = 155,913 × 155,913
  4. Step 4: Simplify right side
    103,678x = 24,308,863,569
  5. Step 5: Solve for x
    x = 24,308,863,569/103,678
  6. Step 6: Final answer
    x = 234,465.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.