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Finding the Third Proportional to 51,690,748.50 and 80,028,655.50

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Solution

The third proportional to 51,690,748.50 and 80,028,655.50 is: 123,901,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,690,748.50 : 80,028,655.50 = 80,028,655.50 : x
  2. Step 2: Convert to fraction form
    51,690,748.50/80,028,655.50 = 80,028,655.50/x
  3. Step 3: Cross multiply
    51,690,748.50x = 80,028,655.50 × 80,028,655.50
  4. Step 4: Simplify right side
    51,690,748.50x = 6,404,585,701,137,680
  5. Step 5: Solve for x
    x = 6,404,585,701,137,680/51,690,748.50
  6. Step 6: Final answer
    x = 123,901,972.54

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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.