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Finding the Third Proportional to 9,518.50 and 13,953

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Solution

The third proportional to 9,518.50 and 13,953 is: 20,453.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.50 : 13,953 = 13,953 : x
  2. Step 2: Convert to fraction form
    9,518.50/13,953 = 13,953/x
  3. Step 3: Cross multiply
    9,518.50x = 13,953 × 13,953
  4. Step 4: Simplify right side
    9,518.50x = 194,686,209
  5. Step 5: Solve for x
    x = 194,686,209/9,518.50
  6. Step 6: Final answer
    x = 20,453.45

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Why These Related Problems?

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