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Finding the Third Proportional to 149,302,994 and 213,503,539

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Solution

The third proportional to 149,302,994 and 213,503,539 is: 305,310,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,302,994 : 213,503,539 = 213,503,539 : x
  2. Step 2: Convert to fraction form
    149,302,994/213,503,539 = 213,503,539/x
  3. Step 3: Cross multiply
    149,302,994x = 213,503,539 × 213,503,539
  4. Step 4: Simplify right side
    149,302,994x = 45,583,761,165,524,520
  5. Step 5: Solve for x
    x = 45,583,761,165,524,520/149,302,994
  6. Step 6: Final answer
    x = 305,310,429.11

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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.