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Finding the Third Proportional to 181,013 and 397,639

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Solution

The third proportional to 181,013 and 397,639 is: 873,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,013 : 397,639 = 397,639 : x
  2. Step 2: Convert to fraction form
    181,013/397,639 = 397,639/x
  3. Step 3: Cross multiply
    181,013x = 397,639 × 397,639
  4. Step 4: Simplify right side
    181,013x = 158,116,774,321
  5. Step 5: Solve for x
    x = 158,116,774,321/181,013
  6. Step 6: Final answer
    x = 873,510.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.