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Finding the Third Proportional to 271,386 and 580,120

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Solution

The third proportional to 271,386 and 580,120 is: 1,240,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,386 : 580,120 = 580,120 : x
  2. Step 2: Convert to fraction form
    271,386/580,120 = 580,120/x
  3. Step 3: Cross multiply
    271,386x = 580,120 × 580,120
  4. Step 4: Simplify right side
    271,386x = 336,539,214,400
  5. Step 5: Solve for x
    x = 336,539,214,400/271,386
  6. Step 6: Final answer
    x = 1,240,075.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.