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Finding the Third Proportional to 213,177 and 455,895

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Solution

The third proportional to 213,177 and 455,895 is: 974,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,177 : 455,895 = 455,895 : x
  2. Step 2: Convert to fraction form
    213,177/455,895 = 455,895/x
  3. Step 3: Cross multiply
    213,177x = 455,895 × 455,895
  4. Step 4: Simplify right side
    213,177x = 207,840,251,025
  5. Step 5: Solve for x
    x = 207,840,251,025/213,177
  6. Step 6: Final answer
    x = 974,965.64

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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.