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Finding the Third Proportional to 211,037 and 455,290

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Solution

The third proportional to 211,037 and 455,290 is: 982,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,037 : 455,290 = 455,290 : x
  2. Step 2: Convert to fraction form
    211,037/455,290 = 455,290/x
  3. Step 3: Cross multiply
    211,037x = 455,290 × 455,290
  4. Step 4: Simplify right side
    211,037x = 207,288,984,100
  5. Step 5: Solve for x
    x = 207,288,984,100/211,037
  6. Step 6: Final answer
    x = 982,240.01

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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.