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Finding the Third Proportional to 100,455.50 and 155,717

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Solution

The third proportional to 100,455.50 and 155,717 is: 241,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,455.50 : 155,717 = 155,717 : x
  2. Step 2: Convert to fraction form
    100,455.50/155,717 = 155,717/x
  3. Step 3: Cross multiply
    100,455.50x = 155,717 × 155,717
  4. Step 4: Simplify right side
    100,455.50x = 24,247,784,089
  5. Step 5: Solve for x
    x = 24,247,784,089/100,455.50
  6. Step 6: Final answer
    x = 241,378.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.