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Finding the Third Proportional to 31,003,828 and 72,416,039

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Solution

The third proportional to 31,003,828 and 72,416,039 is: 169,143,071.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003,828 : 72,416,039 = 72,416,039 : x
  2. Step 2: Convert to fraction form
    31,003,828/72,416,039 = 72,416,039/x
  3. Step 3: Cross multiply
    31,003,828x = 72,416,039 × 72,416,039
  4. Step 4: Simplify right side
    31,003,828x = 5,244,082,704,449,521
  5. Step 5: Solve for x
    x = 5,244,082,704,449,521/31,003,828
  6. Step 6: Final answer
    x = 169,143,071.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.