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Finding the Third Proportional to 51,735.50 and 81,210

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Solution

The third proportional to 51,735.50 and 81,210 is: 127,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,735.50 : 81,210 = 81,210 : x
  2. Step 2: Convert to fraction form
    51,735.50/81,210 = 81,210/x
  3. Step 3: Cross multiply
    51,735.50x = 81,210 × 81,210
  4. Step 4: Simplify right side
    51,735.50x = 6,595,064,100
  5. Step 5: Solve for x
    x = 6,595,064,100/51,735.50
  6. Step 6: Final answer
    x = 127,476.57

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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.