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Finding the Third Proportional to 25,440 and 54,642

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Solution

The third proportional to 25,440 and 54,642 is: 117,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,440 : 54,642 = 54,642 : x
  2. Step 2: Convert to fraction form
    25,440/54,642 = 54,642/x
  3. Step 3: Cross multiply
    25,440x = 54,642 × 54,642
  4. Step 4: Simplify right side
    25,440x = 2,985,748,164
  5. Step 5: Solve for x
    x = 2,985,748,164/25,440
  6. Step 6: Final answer
    x = 117,364.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.