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Finding the Third Proportional to 78,401 and 119,445

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Solution

The third proportional to 78,401 and 119,445 is: 181,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,401 : 119,445 = 119,445 : x
  2. Step 2: Convert to fraction form
    78,401/119,445 = 119,445/x
  3. Step 3: Cross multiply
    78,401x = 119,445 × 119,445
  4. Step 4: Simplify right side
    78,401x = 14,267,108,025
  5. Step 5: Solve for x
    x = 14,267,108,025/78,401
  6. Step 6: Final answer
    x = 181,976.10

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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.