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Finding the Third Proportional to 211,473 and 458,007

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Solution

The third proportional to 211,473 and 458,007 is: 991,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,473 : 458,007 = 458,007 : x
  2. Step 2: Convert to fraction form
    211,473/458,007 = 458,007/x
  3. Step 3: Cross multiply
    211,473x = 458,007 × 458,007
  4. Step 4: Simplify right side
    211,473x = 209,770,412,049
  5. Step 5: Solve for x
    x = 209,770,412,049/211,473
  6. Step 6: Final answer
    x = 991,948.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.