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Finding the Third Proportional to 81,282,711.75 and 123,829,655.25

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Solution

The third proportional to 81,282,711.75 and 123,829,655.25 is: 188,647,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,282,711.75 : 123,829,655.25 = 123,829,655.25 : x
  2. Step 2: Convert to fraction form
    81,282,711.75/123,829,655.25 = 123,829,655.25/x
  3. Step 3: Cross multiply
    81,282,711.75x = 123,829,655.25 × 123,829,655.25
  4. Step 4: Simplify right side
    81,282,711.75x = 15,333,783,519,333,852
  5. Step 5: Solve for x
    x = 15,333,783,519,333,852/81,282,711.75
  6. Step 6: Final answer
    x = 188,647,538.81

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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.