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Finding the Third Proportional to 34,494.19 and 74,525.06

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Solution

The third proportional to 34,494.19 and 74,525.06 is: 161,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,494.19 : 74,525.06 = 74,525.06 : x
  2. Step 2: Convert to fraction form
    34,494.19/74,525.06 = 74,525.06/x
  3. Step 3: Cross multiply
    34,494.19x = 74,525.06 × 74,525.06
  4. Step 4: Simplify right side
    34,494.19x = 5,553,984,940.63
  5. Step 5: Solve for x
    x = 5,553,984,940.63/34,494.19
  6. Step 6: Final answer
    x = 161,012.20

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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.