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Finding the Third Proportional to 789,728 and 1,125,520

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Solution

The third proportional to 789,728 and 1,125,520 is: 1,604,090.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,728 : 1,125,520 = 1,125,520 : x
  2. Step 2: Convert to fraction form
    789,728/1,125,520 = 1,125,520/x
  3. Step 3: Cross multiply
    789,728x = 1,125,520 × 1,125,520
  4. Step 4: Simplify right side
    789,728x = 1,266,795,270,400
  5. Step 5: Solve for x
    x = 1,266,795,270,400/789,728
  6. Step 6: Final answer
    x = 1,604,090.61

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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.