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Finding the Third Proportional to 149,715 and 181,791

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Solution

The third proportional to 149,715 and 181,791 is: 220,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,715 : 181,791 = 181,791 : x
  2. Step 2: Convert to fraction form
    149,715/181,791 = 181,791/x
  3. Step 3: Cross multiply
    149,715x = 181,791 × 181,791
  4. Step 4: Simplify right side
    149,715x = 33,047,967,681
  5. Step 5: Solve for x
    x = 33,047,967,681/149,715
  6. Step 6: Final answer
    x = 220,739.19

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.