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Finding the Third Proportional to 129,591 and 202,851

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Solution

The third proportional to 129,591 and 202,851 is: 317,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,591 : 202,851 = 202,851 : x
  2. Step 2: Convert to fraction form
    129,591/202,851 = 202,851/x
  3. Step 3: Cross multiply
    129,591x = 202,851 × 202,851
  4. Step 4: Simplify right side
    129,591x = 41,148,528,201
  5. Step 5: Solve for x
    x = 41,148,528,201/129,591
  6. Step 6: Final answer
    x = 317,526.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.