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Finding the Third Proportional to 181,878 and 424,807

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Solution

The third proportional to 181,878 and 424,807 is: 992,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,878 : 424,807 = 424,807 : x
  2. Step 2: Convert to fraction form
    181,878/424,807 = 424,807/x
  3. Step 3: Cross multiply
    181,878x = 424,807 × 424,807
  4. Step 4: Simplify right side
    181,878x = 180,460,987,249
  5. Step 5: Solve for x
    x = 180,460,987,249/181,878
  6. Step 6: Final answer
    x = 992,208.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.