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Finding the Third Proportional to 51,690,747 and 80,028,652.50

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Solution

The third proportional to 51,690,747 and 80,028,652.50 is: 123,901,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,690,747 : 80,028,652.50 = 80,028,652.50 : x
  2. Step 2: Convert to fraction form
    51,690,747/80,028,652.50 = 80,028,652.50/x
  3. Step 3: Cross multiply
    51,690,747x = 80,028,652.50 × 80,028,652.50
  4. Step 4: Simplify right side
    51,690,747x = 6,404,585,220,965,756
  5. Step 5: Solve for x
    x = 6,404,585,220,965,756/51,690,747
  6. Step 6: Final answer
    x = 123,901,966.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.