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Finding the Third Proportional to 78,893.50 and 107,785

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Solution

The third proportional to 78,893.50 and 107,785 is: 147,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,893.50 : 107,785 = 107,785 : x
  2. Step 2: Convert to fraction form
    78,893.50/107,785 = 107,785/x
  3. Step 3: Cross multiply
    78,893.50x = 107,785 × 107,785
  4. Step 4: Simplify right side
    78,893.50x = 11,617,606,225
  5. Step 5: Solve for x
    x = 11,617,606,225/78,893.50
  6. Step 6: Final answer
    x = 147,256.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.