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Finding the Third Proportional to 187,172 and 405,878

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Solution

The third proportional to 187,172 and 405,878 is: 880,136.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,172 : 405,878 = 405,878 : x
  2. Step 2: Convert to fraction form
    187,172/405,878 = 405,878/x
  3. Step 3: Cross multiply
    187,172x = 405,878 × 405,878
  4. Step 4: Simplify right side
    187,172x = 164,736,950,884
  5. Step 5: Solve for x
    x = 164,736,950,884/187,172
  6. Step 6: Final answer
    x = 880,136.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.