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Finding the Third Proportional to 78,807.94 and 108,370.41

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Solution

The third proportional to 78,807.94 and 108,370.41 is: 149,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,807.94 : 108,370.41 = 108,370.41 : x
  2. Step 2: Convert to fraction form
    78,807.94/108,370.41 = 108,370.41/x
  3. Step 3: Cross multiply
    78,807.94x = 108,370.41 × 108,370.41
  4. Step 4: Simplify right side
    78,807.94x = 11,744,144,950.79
  5. Step 5: Solve for x
    x = 11,744,144,950.79/78,807.94
  6. Step 6: Final answer
    x = 149,022.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.