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Finding the Third Proportional to 6,122.50 and 13,283

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Solution

The third proportional to 6,122.50 and 13,283 is: 28,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.50 : 13,283 = 13,283 : x
  2. Step 2: Convert to fraction form
    6,122.50/13,283 = 13,283/x
  3. Step 3: Cross multiply
    6,122.50x = 13,283 × 13,283
  4. Step 4: Simplify right side
    6,122.50x = 176,438,089
  5. Step 5: Solve for x
    x = 176,438,089/6,122.50
  6. Step 6: Final answer
    x = 28,817.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.