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Finding the Third Proportional to 25,909 and 56,431

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Solution

The third proportional to 25,909 and 56,431 is: 122,909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,909 : 56,431 = 56,431 : x
  2. Step 2: Convert to fraction form
    25,909/56,431 = 56,431/x
  3. Step 3: Cross multiply
    25,909x = 56,431 × 56,431
  4. Step 4: Simplify right side
    25,909x = 3,184,457,761
  5. Step 5: Solve for x
    x = 3,184,457,761/25,909
  6. Step 6: Final answer
    x = 122,909.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.