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Finding the Third Proportional to 78,820.50 and 118,311

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Solution

The third proportional to 78,820.50 and 118,311 is: 177,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,820.50 : 118,311 = 118,311 : x
  2. Step 2: Convert to fraction form
    78,820.50/118,311 = 118,311/x
  3. Step 3: Cross multiply
    78,820.50x = 118,311 × 118,311
  4. Step 4: Simplify right side
    78,820.50x = 13,997,492,721
  5. Step 5: Solve for x
    x = 13,997,492,721/78,820.50
  6. Step 6: Final answer
    x = 177,586.96

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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.