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Finding the Third Proportional to 725,765 and 1,128,392

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Solution

The third proportional to 725,765 and 1,128,392 is: 1,754,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,765 : 1,128,392 = 1,128,392 : x
  2. Step 2: Convert to fraction form
    725,765/1,128,392 = 1,128,392/x
  3. Step 3: Cross multiply
    725,765x = 1,128,392 × 1,128,392
  4. Step 4: Simplify right side
    725,765x = 1,273,268,505,664
  5. Step 5: Solve for x
    x = 1,273,268,505,664/725,765
  6. Step 6: Final answer
    x = 1,754,381.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.