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Finding the Third Proportional to 10,921,900 and 18,200,983

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Solution

The third proportional to 10,921,900 and 18,200,983 is: 30,331,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921,900 : 18,200,983 = 18,200,983 : x
  2. Step 2: Convert to fraction form
    10,921,900/18,200,983 = 18,200,983/x
  3. Step 3: Cross multiply
    10,921,900x = 18,200,983 × 18,200,983
  4. Step 4: Simplify right side
    10,921,900x = 331,275,782,166,289
  5. Step 5: Solve for x
    x = 331,275,782,166,289/10,921,900
  6. Step 6: Final answer
    x = 30,331,332.66

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.