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Finding the Third Proportional to 9,172.50 and 13,455

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Solution

The third proportional to 9,172.50 and 13,455 is: 19,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.50 : 13,455 = 13,455 : x
  2. Step 2: Convert to fraction form
    9,172.50/13,455 = 13,455/x
  3. Step 3: Cross multiply
    9,172.50x = 13,455 × 13,455
  4. Step 4: Simplify right side
    9,172.50x = 181,037,025
  5. Step 5: Solve for x
    x = 181,037,025/9,172.50
  6. Step 6: Final answer
    x = 19,736.93

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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.