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Finding the Third Proportional to 789,828 and 1,128,663

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Solution

The third proportional to 789,828 and 1,128,663 is: 1,612,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,828 : 1,128,663 = 1,128,663 : x
  2. Step 2: Convert to fraction form
    789,828/1,128,663 = 1,128,663/x
  3. Step 3: Cross multiply
    789,828x = 1,128,663 × 1,128,663
  4. Step 4: Simplify right side
    789,828x = 1,273,880,167,569
  5. Step 5: Solve for x
    x = 1,273,880,167,569/789,828
  6. Step 6: Final answer
    x = 1,612,857.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.