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Finding the Third Proportional to 737,120 and 1,548,520

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Solution

The third proportional to 737,120 and 1,548,520 is: 3,253,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,120 : 1,548,520 = 1,548,520 : x
  2. Step 2: Convert to fraction form
    737,120/1,548,520 = 1,548,520/x
  3. Step 3: Cross multiply
    737,120x = 1,548,520 × 1,548,520
  4. Step 4: Simplify right side
    737,120x = 2,397,914,190,400
  5. Step 5: Solve for x
    x = 2,397,914,190,400/737,120
  6. Step 6: Final answer
    x = 3,253,085.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.