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Finding the Third Proportional to 211,172 and 455,351.50

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Solution

The third proportional to 211,172 and 455,351.50 is: 981,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,172 : 455,351.50 = 455,351.50 : x
  2. Step 2: Convert to fraction form
    211,172/455,351.50 = 455,351.50/x
  3. Step 3: Cross multiply
    211,172x = 455,351.50 × 455,351.50
  4. Step 4: Simplify right side
    211,172x = 207,344,988,552.25
  5. Step 5: Solve for x
    x = 207,344,988,552.25/211,172
  6. Step 6: Final answer
    x = 981,877.28

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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.