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Finding the Third Proportional to 752,920 and 1,655,120

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Solution

The third proportional to 752,920 and 1,655,120 is: 3,638,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,920 : 1,655,120 = 1,655,120 : x
  2. Step 2: Convert to fraction form
    752,920/1,655,120 = 1,655,120/x
  3. Step 3: Cross multiply
    752,920x = 1,655,120 × 1,655,120
  4. Step 4: Simplify right side
    752,920x = 2,739,422,214,400
  5. Step 5: Solve for x
    x = 2,739,422,214,400/752,920
  6. Step 6: Final answer
    x = 3,638,397.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.