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Finding the Third Proportional to 9,415 and 13,834.50

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Solution

The third proportional to 9,415 and 13,834.50 is: 20,328.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415 : 13,834.50 = 13,834.50 : x
  2. Step 2: Convert to fraction form
    9,415/13,834.50 = 13,834.50/x
  3. Step 3: Cross multiply
    9,415x = 13,834.50 × 13,834.50
  4. Step 4: Simplify right side
    9,415x = 191,393,390.25
  5. Step 5: Solve for x
    x = 191,393,390.25/9,415
  6. Step 6: Final answer
    x = 20,328.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.