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Finding the Third Proportional to 51,516 and 81,636

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Solution

The third proportional to 51,516 and 81,636 is: 129,366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,516 : 81,636 = 81,636 : x
  2. Step 2: Convert to fraction form
    51,516/81,636 = 81,636/x
  3. Step 3: Cross multiply
    51,516x = 81,636 × 81,636
  4. Step 4: Simplify right side
    51,516x = 6,664,436,496
  5. Step 5: Solve for x
    x = 6,664,436,496/51,516
  6. Step 6: Final answer
    x = 129,366.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.