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Finding the Third Proportional to 78,276 and 118,912

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Solution

The third proportional to 78,276 and 118,912 is: 180,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,276 : 118,912 = 118,912 : x
  2. Step 2: Convert to fraction form
    78,276/118,912 = 118,912/x
  3. Step 3: Cross multiply
    78,276x = 118,912 × 118,912
  4. Step 4: Simplify right side
    78,276x = 14,140,063,744
  5. Step 5: Solve for x
    x = 14,140,063,744/78,276
  6. Step 6: Final answer
    x = 180,643.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.