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Finding the Third Proportional to 18,405 and 29,156.25

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Solution

The third proportional to 18,405 and 29,156.25 is: 46,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,405 : 29,156.25 = 29,156.25 : x
  2. Step 2: Convert to fraction form
    18,405/29,156.25 = 29,156.25/x
  3. Step 3: Cross multiply
    18,405x = 29,156.25 × 29,156.25
  4. Step 4: Simplify right side
    18,405x = 850,086,914.06
  5. Step 5: Solve for x
    x = 850,086,914.06/18,405
  6. Step 6: Final answer
    x = 46,187.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.