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Finding the Third Proportional to 20,157 and 25,709

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Solution

The third proportional to 20,157 and 25,709 is: 32,790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157 : 25,709 = 25,709 : x
  2. Step 2: Convert to fraction form
    20,157/25,709 = 25,709/x
  3. Step 3: Cross multiply
    20,157x = 25,709 × 25,709
  4. Step 4: Simplify right side
    20,157x = 660,952,681
  5. Step 5: Solve for x
    x = 660,952,681/20,157
  6. Step 6: Final answer
    x = 32,790.23

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.