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Finding the Third Proportional to 211,299 and 458,426

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Solution

The third proportional to 211,299 and 458,426 is: 994,583.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,299 : 458,426 = 458,426 : x
  2. Step 2: Convert to fraction form
    211,299/458,426 = 458,426/x
  3. Step 3: Cross multiply
    211,299x = 458,426 × 458,426
  4. Step 4: Simplify right side
    211,299x = 210,154,397,476
  5. Step 5: Solve for x
    x = 210,154,397,476/211,299
  6. Step 6: Final answer
    x = 994,583.02

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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.