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Finding the Third Proportional to 315,960 and 755,475

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Solution

The third proportional to 315,960 and 755,475 is: 1,806,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,960 : 755,475 = 755,475 : x
  2. Step 2: Convert to fraction form
    315,960/755,475 = 755,475/x
  3. Step 3: Cross multiply
    315,960x = 755,475 × 755,475
  4. Step 4: Simplify right side
    315,960x = 570,742,475,625
  5. Step 5: Solve for x
    x = 570,742,475,625/315,960
  6. Step 6: Final answer
    x = 1,806,375.73

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.