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Finding the Third Proportional to 80,980 and 122,550

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Solution

The third proportional to 80,980 and 122,550 is: 185,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,980 : 122,550 = 122,550 : x
  2. Step 2: Convert to fraction form
    80,980/122,550 = 122,550/x
  3. Step 3: Cross multiply
    80,980x = 122,550 × 122,550
  4. Step 4: Simplify right side
    80,980x = 15,018,502,500
  5. Step 5: Solve for x
    x = 15,018,502,500/80,980
  6. Step 6: Final answer
    x = 185,459.40

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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.