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Finding the Third Proportional to 15,216 and 23,031

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Solution

The third proportional to 15,216 and 23,031 is: 34,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,216 : 23,031 = 23,031 : x
  2. Step 2: Convert to fraction form
    15,216/23,031 = 23,031/x
  3. Step 3: Cross multiply
    15,216x = 23,031 × 23,031
  4. Step 4: Simplify right side
    15,216x = 530,426,961
  5. Step 5: Solve for x
    x = 530,426,961/15,216
  6. Step 6: Final answer
    x = 34,859.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.