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Finding the Third Proportional to 78,774.19 and 118,219.50

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Solution

The third proportional to 78,774.19 and 118,219.50 is: 177,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,774.19 : 118,219.50 = 118,219.50 : x
  2. Step 2: Convert to fraction form
    78,774.19/118,219.50 = 118,219.50/x
  3. Step 3: Cross multiply
    78,774.19x = 118,219.50 × 118,219.50
  4. Step 4: Simplify right side
    78,774.19x = 13,975,850,180.25
  5. Step 5: Solve for x
    x = 13,975,850,180.25/78,774.19
  6. Step 6: Final answer
    x = 177,416.62

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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.