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Finding the Third Proportional to 81,282,678 and 123,829,605

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Solution

The third proportional to 81,282,678 and 123,829,605 is: 188,647,464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,282,678 : 123,829,605 = 123,829,605 : x
  2. Step 2: Convert to fraction form
    81,282,678/123,829,605 = 123,829,605/x
  3. Step 3: Cross multiply
    81,282,678x = 123,829,605 × 123,829,605
  4. Step 4: Simplify right side
    81,282,678x = 15,333,771,074,456,024
  5. Step 5: Solve for x
    x = 15,333,771,074,456,024/81,282,678
  6. Step 6: Final answer
    x = 188,647,464.03

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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.