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Finding the Third Proportional to 211,471 and 499,030

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Solution

The third proportional to 211,471 and 499,030 is: 1,177,612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,471 : 499,030 = 499,030 : x
  2. Step 2: Convert to fraction form
    211,471/499,030 = 499,030/x
  3. Step 3: Cross multiply
    211,471x = 499,030 × 499,030
  4. Step 4: Simplify right side
    211,471x = 249,030,940,900
  5. Step 5: Solve for x
    x = 249,030,940,900/211,471
  6. Step 6: Final answer
    x = 1,177,612.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.