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Finding the Third Proportional to 181,775 and 388,822

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Solution

The third proportional to 181,775 and 388,822 is: 831,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,775 : 388,822 = 388,822 : x
  2. Step 2: Convert to fraction form
    181,775/388,822 = 388,822/x
  3. Step 3: Cross multiply
    181,775x = 388,822 × 388,822
  4. Step 4: Simplify right side
    181,775x = 151,182,547,684
  5. Step 5: Solve for x
    x = 151,182,547,684/181,775
  6. Step 6: Final answer
    x = 831,701.54

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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.