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Finding the Third Proportional to 181,547 and 388,021

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Solution

The third proportional to 181,547 and 388,021 is: 829,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,547 : 388,021 = 388,021 : x
  2. Step 2: Convert to fraction form
    181,547/388,021 = 388,021/x
  3. Step 3: Cross multiply
    181,547x = 388,021 × 388,021
  4. Step 4: Simplify right side
    181,547x = 150,560,296,441
  5. Step 5: Solve for x
    x = 150,560,296,441/181,547
  6. Step 6: Final answer
    x = 829,318.56

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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.