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Finding the Third Proportional to 78,921.75 and 118,472.63

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Solution

The third proportional to 78,921.75 and 118,472.63 is: 177,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,921.75 : 118,472.63 = 118,472.63 : x
  2. Step 2: Convert to fraction form
    78,921.75/118,472.63 = 118,472.63/x
  3. Step 3: Cross multiply
    78,921.75x = 118,472.63 × 118,472.63
  4. Step 4: Simplify right side
    78,921.75x = 14,035,762,874.39
  5. Step 5: Solve for x
    x = 14,035,762,874.39/78,921.75
  6. Step 6: Final answer
    x = 177,844.04

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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.