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Finding the Third Proportional to 387,602 and 834,340

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Solution

The third proportional to 387,602 and 834,340 is: 1,795,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,602 : 834,340 = 834,340 : x
  2. Step 2: Convert to fraction form
    387,602/834,340 = 834,340/x
  3. Step 3: Cross multiply
    387,602x = 834,340 × 834,340
  4. Step 4: Simplify right side
    387,602x = 696,123,235,600
  5. Step 5: Solve for x
    x = 696,123,235,600/387,602
  6. Step 6: Final answer
    x = 1,795,974.31

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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.