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Finding the Third Proportional to 211,471 and 457,789

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Solution

The third proportional to 211,471 and 457,789 is: 991,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,471 : 457,789 = 457,789 : x
  2. Step 2: Convert to fraction form
    211,471/457,789 = 457,789/x
  3. Step 3: Cross multiply
    211,471x = 457,789 × 457,789
  4. Step 4: Simplify right side
    211,471x = 209,570,768,521
  5. Step 5: Solve for x
    x = 209,570,768,521/211,471
  6. Step 6: Final answer
    x = 991,014.22

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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.