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Finding the Third Proportional to 21,322,781 and 31,184,467

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Solution

The third proportional to 21,322,781 and 31,184,467 is: 45,607,136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,322,781 : 31,184,467 = 31,184,467 : x
  2. Step 2: Convert to fraction form
    21,322,781/31,184,467 = 31,184,467/x
  3. Step 3: Cross multiply
    21,322,781x = 31,184,467 × 31,184,467
  4. Step 4: Simplify right side
    21,322,781x = 972,470,982,074,089
  5. Step 5: Solve for x
    x = 972,470,982,074,089/21,322,781
  6. Step 6: Final answer
    x = 45,607,136.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.