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Finding the Third Proportional to 51,914 and 81,328

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Solution

The third proportional to 51,914 and 81,328 is: 127,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,914 : 81,328 = 81,328 : x
  2. Step 2: Convert to fraction form
    51,914/81,328 = 81,328/x
  3. Step 3: Cross multiply
    51,914x = 81,328 × 81,328
  4. Step 4: Simplify right side
    51,914x = 6,614,243,584
  5. Step 5: Solve for x
    x = 6,614,243,584/51,914
  6. Step 6: Final answer
    x = 127,407.70

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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.