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Finding the Third Proportional to 132,740 and 286,611

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Solution

The third proportional to 132,740 and 286,611 is: 618,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,740 : 286,611 = 286,611 : x
  2. Step 2: Convert to fraction form
    132,740/286,611 = 286,611/x
  3. Step 3: Cross multiply
    132,740x = 286,611 × 286,611
  4. Step 4: Simplify right side
    132,740x = 82,145,865,321
  5. Step 5: Solve for x
    x = 82,145,865,321/132,740
  6. Step 6: Final answer
    x = 618,847.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.