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Finding the Third Proportional to 445,008,885 and 654,647,445

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Solution

The third proportional to 445,008,885 and 654,647,445 is: 963,044,315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,008,885 : 654,647,445 = 654,647,445 : x
  2. Step 2: Convert to fraction form
    445,008,885/654,647,445 = 654,647,445/x
  3. Step 3: Cross multiply
    445,008,885x = 654,647,445 × 654,647,445
  4. Step 4: Simplify right side
    445,008,885x = 428,563,277,245,028,032
  5. Step 5: Solve for x
    x = 428,563,277,245,028,032/445,008,885
  6. Step 6: Final answer
    x = 963,044,315.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.