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Finding the Third Proportional to 10,089 and 13,485

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Solution

The third proportional to 10,089 and 13,485 is: 18,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089 : 13,485 = 13,485 : x
  2. Step 2: Convert to fraction form
    10,089/13,485 = 13,485/x
  3. Step 3: Cross multiply
    10,089x = 13,485 × 13,485
  4. Step 4: Simplify right side
    10,089x = 181,845,225
  5. Step 5: Solve for x
    x = 181,845,225/10,089
  6. Step 6: Final answer
    x = 18,024.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.