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Finding the Third Proportional to 72,082,200 and 149,274,420

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Solution

The third proportional to 72,082,200 and 149,274,420 is: 309,131,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,082,200 : 149,274,420 = 149,274,420 : x
  2. Step 2: Convert to fraction form
    72,082,200/149,274,420 = 149,274,420/x
  3. Step 3: Cross multiply
    72,082,200x = 149,274,420 × 149,274,420
  4. Step 4: Simplify right side
    72,082,200x = 22,282,852,466,336,400
  5. Step 5: Solve for x
    x = 22,282,852,466,336,400/72,082,200
  6. Step 6: Final answer
    x = 309,131,137.32

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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.