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Finding the Third Proportional to 34,116.19 and 73,563.19

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Solution

The third proportional to 34,116.19 and 73,563.19 is: 158,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,116.19 : 73,563.19 = 73,563.19 : x
  2. Step 2: Convert to fraction form
    34,116.19/73,563.19 = 73,563.19/x
  3. Step 3: Cross multiply
    34,116.19x = 73,563.19 × 73,563.19
  4. Step 4: Simplify right side
    34,116.19x = 5,411,542,555.16
  5. Step 5: Solve for x
    x = 5,411,542,555.16/34,116.19
  6. Step 6: Final answer
    x = 158,620.96

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Why These Related Problems?

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