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Finding the Third Proportional to 7,014 and 10,573.50

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Solution

The third proportional to 7,014 and 10,573.50 is: 15,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014 : 10,573.50 = 10,573.50 : x
  2. Step 2: Convert to fraction form
    7,014/10,573.50 = 10,573.50/x
  3. Step 3: Cross multiply
    7,014x = 10,573.50 × 10,573.50
  4. Step 4: Simplify right side
    7,014x = 111,798,902.25
  5. Step 5: Solve for x
    x = 111,798,902.25/7,014
  6. Step 6: Final answer
    x = 15,939.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.