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Finding the Third Proportional to 285,120 and 612,360

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Solution

The third proportional to 285,120 and 612,360 is: 1,315,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,120 : 612,360 = 612,360 : x
  2. Step 2: Convert to fraction form
    285,120/612,360 = 612,360/x
  3. Step 3: Cross multiply
    285,120x = 612,360 × 612,360
  4. Step 4: Simplify right side
    285,120x = 374,984,769,600
  5. Step 5: Solve for x
    x = 374,984,769,600/285,120
  6. Step 6: Final answer
    x = 1,315,182.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.