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Finding the Third Proportional to 51,690 and 105,572

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Solution

The third proportional to 51,690 and 105,572 is: 215,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,690 : 105,572 = 105,572 : x
  2. Step 2: Convert to fraction form
    51,690/105,572 = 105,572/x
  3. Step 3: Cross multiply
    51,690x = 105,572 × 105,572
  4. Step 4: Simplify right side
    51,690x = 11,145,447,184
  5. Step 5: Solve for x
    x = 11,145,447,184/51,690
  6. Step 6: Final answer
    x = 215,620.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.