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Finding the Third Proportional to 78,419.81 and 117,806.91

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Solution

The third proportional to 78,419.81 and 117,806.91 is: 176,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,419.81 : 117,806.91 = 117,806.91 : x
  2. Step 2: Convert to fraction form
    78,419.81/117,806.91 = 117,806.91/x
  3. Step 3: Cross multiply
    78,419.81x = 117,806.91 × 117,806.91
  4. Step 4: Simplify right side
    78,419.81x = 13,878,467,160.20
  5. Step 5: Solve for x
    x = 13,878,467,160.20/78,419.81
  6. Step 6: Final answer
    x = 176,976.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.