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Finding the Third Proportional to 213,189 and 458,637

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Solution

The third proportional to 213,189 and 458,637 is: 986,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,189 : 458,637 = 458,637 : x
  2. Step 2: Convert to fraction form
    213,189/458,637 = 458,637/x
  3. Step 3: Cross multiply
    213,189x = 458,637 × 458,637
  4. Step 4: Simplify right side
    213,189x = 210,347,897,769
  5. Step 5: Solve for x
    x = 210,347,897,769/213,189
  6. Step 6: Final answer
    x = 986,673.32

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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.