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Finding the Third Proportional to 72,082,170 and 149,274,360

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Solution

The third proportional to 72,082,170 and 149,274,360 is: 309,131,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,082,170 : 149,274,360 = 149,274,360 : x
  2. Step 2: Convert to fraction form
    72,082,170/149,274,360 = 149,274,360/x
  3. Step 3: Cross multiply
    72,082,170x = 149,274,360 × 149,274,360
  4. Step 4: Simplify right side
    72,082,170x = 22,282,834,553,409,600
  5. Step 5: Solve for x
    x = 22,282,834,553,409,600/72,082,170
  6. Step 6: Final answer
    x = 309,131,017.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.