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Finding the Third Proportional to 149,302,890 and 213,503,391

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Solution

The third proportional to 149,302,890 and 213,503,391 is: 305,310,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,302,890 : 213,503,391 = 213,503,391 : x
  2. Step 2: Convert to fraction form
    149,302,890/213,503,391 = 213,503,391/x
  3. Step 3: Cross multiply
    149,302,890x = 213,503,391 × 213,503,391
  4. Step 4: Simplify right side
    149,302,890x = 45,583,697,968,498,880
  5. Step 5: Solve for x
    x = 45,583,697,968,498,880/149,302,890
  6. Step 6: Final answer
    x = 305,310,218.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.