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Finding the Third Proportional to 15,976 and 21,316

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Solution

The third proportional to 15,976 and 21,316 is: 28,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,976 : 21,316 = 21,316 : x
  2. Step 2: Convert to fraction form
    15,976/21,316 = 21,316/x
  3. Step 3: Cross multiply
    15,976x = 21,316 × 21,316
  4. Step 4: Simplify right side
    15,976x = 454,371,856
  5. Step 5: Solve for x
    x = 454,371,856/15,976
  6. Step 6: Final answer
    x = 28,440.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.