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Finding the Third Proportional to 213,665 and 455,933.25

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Solution

The third proportional to 213,665 and 455,933.25 is: 972,902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,665 : 455,933.25 = 455,933.25 : x
  2. Step 2: Convert to fraction form
    213,665/455,933.25 = 455,933.25/x
  3. Step 3: Cross multiply
    213,665x = 455,933.25 × 455,933.25
  4. Step 4: Simplify right side
    213,665x = 207,875,128,455.56
  5. Step 5: Solve for x
    x = 207,875,128,455.56/213,665
  6. Step 6: Final answer
    x = 972,902.11

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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.