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Finding the Third Proportional to 211,299 and 458,424

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Solution

The third proportional to 211,299 and 458,424 is: 994,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,299 : 458,424 = 458,424 : x
  2. Step 2: Convert to fraction form
    211,299/458,424 = 458,424/x
  3. Step 3: Cross multiply
    211,299x = 458,424 × 458,424
  4. Step 4: Simplify right side
    211,299x = 210,152,563,776
  5. Step 5: Solve for x
    x = 210,152,563,776/211,299
  6. Step 6: Final answer
    x = 994,574.34

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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.