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Finding the Third Proportional to 271,360 and 435,840

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Solution

The third proportional to 271,360 and 435,840 is: 700,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,360 : 435,840 = 435,840 : x
  2. Step 2: Convert to fraction form
    271,360/435,840 = 435,840/x
  3. Step 3: Cross multiply
    271,360x = 435,840 × 435,840
  4. Step 4: Simplify right side
    271,360x = 189,956,505,600
  5. Step 5: Solve for x
    x = 189,956,505,600/271,360
  6. Step 6: Final answer
    x = 700,016.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.