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Finding the Third Proportional to 856,959,440 and 1,206,787,728

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Solution

The third proportional to 856,959,440 and 1,206,787,728 is: 1,699,423,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,959,440 : 1,206,787,728 = 1,206,787,728 : x
  2. Step 2: Convert to fraction form
    856,959,440/1,206,787,728 = 1,206,787,728/x
  3. Step 3: Cross multiply
    856,959,440x = 1,206,787,728 × 1,206,787,728
  4. Step 4: Simplify right side
    856,959,440x = 1,456,336,620,451,401,984
  5. Step 5: Solve for x
    x = 1,456,336,620,451,401,984/856,959,440
  6. Step 6: Final answer
    x = 1,699,423,044.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.