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Finding the Third Proportional to 21,340 and 39,416

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Solution

The third proportional to 21,340 and 39,416 is: 72,803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,340 : 39,416 = 39,416 : x
  2. Step 2: Convert to fraction form
    21,340/39,416 = 39,416/x
  3. Step 3: Cross multiply
    21,340x = 39,416 × 39,416
  4. Step 4: Simplify right side
    21,340x = 1,553,621,056
  5. Step 5: Solve for x
    x = 1,553,621,056/21,340
  6. Step 6: Final answer
    x = 72,803.24

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.