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Finding the Third Proportional to 215,498 and 458,644

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Solution

The third proportional to 215,498 and 458,644 is: 976,131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,498 : 458,644 = 458,644 : x
  2. Step 2: Convert to fraction form
    215,498/458,644 = 458,644/x
  3. Step 3: Cross multiply
    215,498x = 458,644 × 458,644
  4. Step 4: Simplify right side
    215,498x = 210,354,318,736
  5. Step 5: Solve for x
    x = 210,354,318,736/215,498
  6. Step 6: Final answer
    x = 976,131.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.