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Finding the Third Proportional to 51,471,043 and 78,412,584

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Solution

The third proportional to 51,471,043 and 78,412,584 is: 119,456,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,471,043 : 78,412,584 = 78,412,584 : x
  2. Step 2: Convert to fraction form
    51,471,043/78,412,584 = 78,412,584/x
  3. Step 3: Cross multiply
    51,471,043x = 78,412,584 × 78,412,584
  4. Step 4: Simplify right side
    51,471,043x = 6,148,533,329,557,056
  5. Step 5: Solve for x
    x = 6,148,533,329,557,056/51,471,043
  6. Step 6: Final answer
    x = 119,456,163.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.