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Finding the Third Proportional to 7,817.50 and 12,283

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Solution

The third proportional to 7,817.50 and 12,283 is: 19,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.50 : 12,283 = 12,283 : x
  2. Step 2: Convert to fraction form
    7,817.50/12,283 = 12,283/x
  3. Step 3: Cross multiply
    7,817.50x = 12,283 × 12,283
  4. Step 4: Simplify right side
    7,817.50x = 150,872,089
  5. Step 5: Solve for x
    x = 150,872,089/7,817.50
  6. Step 6: Final answer
    x = 19,299.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.