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Finding the Third Proportional to 12,641 and 18,637

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Solution

The third proportional to 12,641 and 18,637 is: 27,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641 : 18,637 = 18,637 : x
  2. Step 2: Convert to fraction form
    12,641/18,637 = 18,637/x
  3. Step 3: Cross multiply
    12,641x = 18,637 × 18,637
  4. Step 4: Simplify right side
    12,641x = 347,337,769
  5. Step 5: Solve for x
    x = 347,337,769/12,641
  6. Step 6: Final answer
    x = 27,477.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.