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Finding the Third Proportional to 213,190 and 458,636

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Solution

The third proportional to 213,190 and 458,636 is: 986,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,190 : 458,636 = 458,636 : x
  2. Step 2: Convert to fraction form
    213,190/458,636 = 458,636/x
  3. Step 3: Cross multiply
    213,190x = 458,636 × 458,636
  4. Step 4: Simplify right side
    213,190x = 210,346,980,496
  5. Step 5: Solve for x
    x = 210,346,980,496/213,190
  6. Step 6: Final answer
    x = 986,664.39

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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.