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Finding the Third Proportional to 81,745.50 and 174,579

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Solution

The third proportional to 81,745.50 and 174,579 is: 372,837.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,745.50 : 174,579 = 174,579 : x
  2. Step 2: Convert to fraction form
    81,745.50/174,579 = 174,579/x
  3. Step 3: Cross multiply
    81,745.50x = 174,579 × 174,579
  4. Step 4: Simplify right side
    81,745.50x = 30,477,827,241
  5. Step 5: Solve for x
    x = 30,477,827,241/81,745.50
  6. Step 6: Final answer
    x = 372,837.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.