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Finding the Third Proportional to 213,996 and 455,640

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Solution

The third proportional to 213,996 and 455,640 is: 970,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,996 : 455,640 = 455,640 : x
  2. Step 2: Convert to fraction form
    213,996/455,640 = 455,640/x
  3. Step 3: Cross multiply
    213,996x = 455,640 × 455,640
  4. Step 4: Simplify right side
    213,996x = 207,607,809,600
  5. Step 5: Solve for x
    x = 207,607,809,600/213,996
  6. Step 6: Final answer
    x = 970,148.09

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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.