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Finding the Third Proportional to 7,130.50 and 17,178.25

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Solution

The third proportional to 7,130.50 and 17,178.25 is: 41,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.50 : 17,178.25 = 17,178.25 : x
  2. Step 2: Convert to fraction form
    7,130.50/17,178.25 = 17,178.25/x
  3. Step 3: Cross multiply
    7,130.50x = 17,178.25 × 17,178.25
  4. Step 4: Simplify right side
    7,130.50x = 295,092,273.06
  5. Step 5: Solve for x
    x = 295,092,273.06/7,130.50
  6. Step 6: Final answer
    x = 41,384.51

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.