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Finding the Third Proportional to 311,160 and 682,560

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Solution

The third proportional to 311,160 and 682,560 is: 1,497,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,160 : 682,560 = 682,560 : x
  2. Step 2: Convert to fraction form
    311,160/682,560 = 682,560/x
  3. Step 3: Cross multiply
    311,160x = 682,560 × 682,560
  4. Step 4: Simplify right side
    311,160x = 465,888,153,600
  5. Step 5: Solve for x
    x = 465,888,153,600/311,160
  6. Step 6: Final answer
    x = 1,497,262.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.