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Finding the Third Proportional to 211,782 and 454,272

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Solution

The third proportional to 211,782 and 454,272 is: 974,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,782 : 454,272 = 454,272 : x
  2. Step 2: Convert to fraction form
    211,782/454,272 = 454,272/x
  3. Step 3: Cross multiply
    211,782x = 454,272 × 454,272
  4. Step 4: Simplify right side
    211,782x = 206,363,049,984
  5. Step 5: Solve for x
    x = 206,363,049,984/211,782
  6. Step 6: Final answer
    x = 974,412.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.