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Finding the Third Proportional to 33,846.19 and 73,666.13

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Solution

The third proportional to 33,846.19 and 73,666.13 is: 160,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,846.19 : 73,666.13 = 73,666.13 : x
  2. Step 2: Convert to fraction form
    33,846.19/73,666.13 = 73,666.13/x
  3. Step 3: Cross multiply
    33,846.19x = 73,666.13 × 73,666.13
  4. Step 4: Simplify right side
    33,846.19x = 5,426,697,972.52
  5. Step 5: Solve for x
    x = 5,426,697,972.52/33,846.19
  6. Step 6: Final answer
    x = 160,334.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.