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Finding the Third Proportional to 273,241,297 and 419,728,555.50

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Solution

The third proportional to 273,241,297 and 419,728,555.50 is: 644,749,026.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,241,297 : 419,728,555.50 = 419,728,555.50 : x
  2. Step 2: Convert to fraction form
    273,241,297/419,728,555.50 = 419,728,555.50/x
  3. Step 3: Cross multiply
    273,241,297x = 419,728,555.50 × 419,728,555.50
  4. Step 4: Simplify right side
    273,241,297x = 176,172,060,302,116,576
  5. Step 5: Solve for x
    x = 176,172,060,302,116,576/273,241,297
  6. Step 6: Final answer
    x = 644,749,026.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.