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Finding the Third Proportional to 25,478 and 51,642

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Solution

The third proportional to 25,478 and 51,642 is: 104,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,478 : 51,642 = 51,642 : x
  2. Step 2: Convert to fraction form
    25,478/51,642 = 51,642/x
  3. Step 3: Cross multiply
    25,478x = 51,642 × 51,642
  4. Step 4: Simplify right side
    25,478x = 2,666,896,164
  5. Step 5: Solve for x
    x = 2,666,896,164/25,478
  6. Step 6: Final answer
    x = 104,674.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.