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Finding the Third Proportional to 213,478 and 458,613

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Solution

The third proportional to 213,478 and 458,613 is: 985,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,478 : 458,613 = 458,613 : x
  2. Step 2: Convert to fraction form
    213,478/458,613 = 458,613/x
  3. Step 3: Cross multiply
    213,478x = 458,613 × 458,613
  4. Step 4: Simplify right side
    213,478x = 210,325,883,769
  5. Step 5: Solve for x
    x = 210,325,883,769/213,478
  6. Step 6: Final answer
    x = 985,234.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.