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Finding the Third Proportional to 78,011 and 117,705

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Solution

The third proportional to 78,011 and 117,705 is: 177,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,011 : 117,705 = 117,705 : x
  2. Step 2: Convert to fraction form
    78,011/117,705 = 117,705/x
  3. Step 3: Cross multiply
    78,011x = 117,705 × 117,705
  4. Step 4: Simplify right side
    78,011x = 13,854,467,025
  5. Step 5: Solve for x
    x = 13,854,467,025/78,011
  6. Step 6: Final answer
    x = 177,596.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.