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Finding the Third Proportional to 78,401 and 117,778

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Solution

The third proportional to 78,401 and 117,778 is: 176,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,401 : 117,778 = 117,778 : x
  2. Step 2: Convert to fraction form
    78,401/117,778 = 117,778/x
  3. Step 3: Cross multiply
    78,401x = 117,778 × 117,778
  4. Step 4: Simplify right side
    78,401x = 13,871,657,284
  5. Step 5: Solve for x
    x = 13,871,657,284/78,401
  6. Step 6: Final answer
    x = 176,932.15

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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.