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Finding the Third Proportional to 78,267 and 118,896

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Solution

The third proportional to 78,267 and 118,896 is: 180,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,267 : 118,896 = 118,896 : x
  2. Step 2: Convert to fraction form
    78,267/118,896 = 118,896/x
  3. Step 3: Cross multiply
    78,267x = 118,896 × 118,896
  4. Step 4: Simplify right side
    78,267x = 14,136,258,816
  5. Step 5: Solve for x
    x = 14,136,258,816/78,267
  6. Step 6: Final answer
    x = 180,615.83

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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.