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Finding the Third Proportional to 18,380,523 and 30,527,716.50

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Solution

The third proportional to 18,380,523 and 30,527,716.50 is: 50,702,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,380,523 : 30,527,716.50 = 30,527,716.50 : x
  2. Step 2: Convert to fraction form
    18,380,523/30,527,716.50 = 30,527,716.50/x
  3. Step 3: Cross multiply
    18,380,523x = 30,527,716.50 × 30,527,716.50
  4. Step 4: Simplify right side
    18,380,523x = 931,941,474,704,372.25
  5. Step 5: Solve for x
    x = 931,941,474,704,372.25/18,380,523
  6. Step 6: Final answer
    x = 50,702,663.61

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.