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Finding the Third Proportional to 213,172 and 455,882

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Solution

The third proportional to 213,172 and 455,882 is: 974,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,172 : 455,882 = 455,882 : x
  2. Step 2: Convert to fraction form
    213,172/455,882 = 455,882/x
  3. Step 3: Cross multiply
    213,172x = 455,882 × 455,882
  4. Step 4: Simplify right side
    213,172x = 207,828,397,924
  5. Step 5: Solve for x
    x = 207,828,397,924/213,172
  6. Step 6: Final answer
    x = 974,932.91

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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.