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Finding the Third Proportional to 211,491 and 457,830

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Solution

The third proportional to 211,491 and 457,830 is: 991,098.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,491 : 457,830 = 457,830 : x
  2. Step 2: Convert to fraction form
    211,491/457,830 = 457,830/x
  3. Step 3: Cross multiply
    211,491x = 457,830 × 457,830
  4. Step 4: Simplify right side
    211,491x = 209,608,308,900
  5. Step 5: Solve for x
    x = 209,608,308,900/211,491
  6. Step 6: Final answer
    x = 991,098.01

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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.