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Finding the Third Proportional to 840,755 and 1,280,573

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Solution

The third proportional to 840,755 and 1,280,573 is: 1,950,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,755 : 1,280,573 = 1,280,573 : x
  2. Step 2: Convert to fraction form
    840,755/1,280,573 = 1,280,573/x
  3. Step 3: Cross multiply
    840,755x = 1,280,573 × 1,280,573
  4. Step 4: Simplify right side
    840,755x = 1,639,867,208,329
  5. Step 5: Solve for x
    x = 1,639,867,208,329/840,755
  6. Step 6: Final answer
    x = 1,950,469.77

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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.