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Finding the Third Proportional to 213,606 and 455,808

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Solution

The third proportional to 213,606 and 455,808 is: 972,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,606 : 455,808 = 455,808 : x
  2. Step 2: Convert to fraction form
    213,606/455,808 = 455,808/x
  3. Step 3: Cross multiply
    213,606x = 455,808 × 455,808
  4. Step 4: Simplify right side
    213,606x = 207,760,932,864
  5. Step 5: Solve for x
    x = 207,760,932,864/213,606
  6. Step 6: Final answer
    x = 972,636.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.