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Finding the Third Proportional to 312,742 and 682,841

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Solution

The third proportional to 312,742 and 682,841 is: 1,490,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,742 : 682,841 = 682,841 : x
  2. Step 2: Convert to fraction form
    312,742/682,841 = 682,841/x
  3. Step 3: Cross multiply
    312,742x = 682,841 × 682,841
  4. Step 4: Simplify right side
    312,742x = 466,271,831,281
  5. Step 5: Solve for x
    x = 466,271,831,281/312,742
  6. Step 6: Final answer
    x = 1,490,915.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.