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Finding the Third Proportional to 81,282,710 and 123,829,653

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Solution

The third proportional to 81,282,710 and 123,829,653 is: 188,647,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,282,710 : 123,829,653 = 123,829,653 : x
  2. Step 2: Convert to fraction form
    81,282,710/123,829,653 = 123,829,653/x
  3. Step 3: Cross multiply
    81,282,710x = 123,829,653 × 123,829,653
  4. Step 4: Simplify right side
    81,282,710x = 15,333,782,962,100,408
  5. Step 5: Solve for x
    x = 15,333,782,962,100,408/81,282,710
  6. Step 6: Final answer
    x = 188,647,536.01

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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.