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Finding the Third Proportional to 13,835 and 21,365

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Solution

The third proportional to 13,835 and 21,365 is: 32,993.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835 : 21,365 = 21,365 : x
  2. Step 2: Convert to fraction form
    13,835/21,365 = 21,365/x
  3. Step 3: Cross multiply
    13,835x = 21,365 × 21,365
  4. Step 4: Simplify right side
    13,835x = 456,463,225
  5. Step 5: Solve for x
    x = 456,463,225/13,835
  6. Step 6: Final answer
    x = 32,993.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.