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Finding the Third Proportional to 211,072 and 455,822

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Solution

The third proportional to 211,072 and 455,822 is: 984,373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,072 : 455,822 = 455,822 : x
  2. Step 2: Convert to fraction form
    211,072/455,822 = 455,822/x
  3. Step 3: Cross multiply
    211,072x = 455,822 × 455,822
  4. Step 4: Simplify right side
    211,072x = 207,773,695,684
  5. Step 5: Solve for x
    x = 207,773,695,684/211,072
  6. Step 6: Final answer
    x = 984,373.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.