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Finding the Third Proportional to 8,460 and 21,726

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Solution

The third proportional to 8,460 and 21,726 is: 55,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460 : 21,726 = 21,726 : x
  2. Step 2: Convert to fraction form
    8,460/21,726 = 21,726/x
  3. Step 3: Cross multiply
    8,460x = 21,726 × 21,726
  4. Step 4: Simplify right side
    8,460x = 472,019,076
  5. Step 5: Solve for x
    x = 472,019,076/8,460
  6. Step 6: Final answer
    x = 55,794.22

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.