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Finding the Third Proportional to 57,706.88 and 86,940

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Solution

The third proportional to 57,706.88 and 86,940 is: 130,982.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,706.88 : 86,940 = 86,940 : x
  2. Step 2: Convert to fraction form
    57,706.88/86,940 = 86,940/x
  3. Step 3: Cross multiply
    57,706.88x = 86,940 × 86,940
  4. Step 4: Simplify right side
    57,706.88x = 7,558,563,600
  5. Step 5: Solve for x
    x = 7,558,563,600/57,706.88
  6. Step 6: Final answer
    x = 130,982.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.