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Finding the Third Proportional to 181,829 and 388,930

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Solution

The third proportional to 181,829 and 388,930 is: 831,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,829 : 388,930 = 388,930 : x
  2. Step 2: Convert to fraction form
    181,829/388,930 = 388,930/x
  3. Step 3: Cross multiply
    181,829x = 388,930 × 388,930
  4. Step 4: Simplify right side
    181,829x = 151,266,544,900
  5. Step 5: Solve for x
    x = 151,266,544,900/181,829
  6. Step 6: Final answer
    x = 831,916.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.