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Finding the Third Proportional to 34,191 and 73,848.50

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Solution

The third proportional to 34,191 and 73,848.50 is: 159,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191 : 73,848.50 = 73,848.50 : x
  2. Step 2: Convert to fraction form
    34,191/73,848.50 = 73,848.50/x
  3. Step 3: Cross multiply
    34,191x = 73,848.50 × 73,848.50
  4. Step 4: Simplify right side
    34,191x = 5,453,600,952.25
  5. Step 5: Solve for x
    x = 5,453,600,952.25/34,191
  6. Step 6: Final answer
    x = 159,503.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.