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Finding the Third Proportional to 5,637 and 13,215

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Solution

The third proportional to 5,637 and 13,215 is: 30,980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637 : 13,215 = 13,215 : x
  2. Step 2: Convert to fraction form
    5,637/13,215 = 13,215/x
  3. Step 3: Cross multiply
    5,637x = 13,215 × 13,215
  4. Step 4: Simplify right side
    5,637x = 174,636,225
  5. Step 5: Solve for x
    x = 174,636,225/5,637
  6. Step 6: Final answer
    x = 30,980.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.