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Finding the Third Proportional to 80,415.75 and 118,215.75

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Solution

The third proportional to 80,415.75 and 118,215.75 is: 173,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,415.75 : 118,215.75 = 118,215.75 : x
  2. Step 2: Convert to fraction form
    80,415.75/118,215.75 = 118,215.75/x
  3. Step 3: Cross multiply
    80,415.75x = 118,215.75 × 118,215.75
  4. Step 4: Simplify right side
    80,415.75x = 13,974,963,548.06
  5. Step 5: Solve for x
    x = 13,974,963,548.06/80,415.75
  6. Step 6: Final answer
    x = 173,783.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.