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Finding the Third Proportional to 84,980 and 134,969

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Solution

The third proportional to 84,980 and 134,969 is: 214,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,980 : 134,969 = 134,969 : x
  2. Step 2: Convert to fraction form
    84,980/134,969 = 134,969/x
  3. Step 3: Cross multiply
    84,980x = 134,969 × 134,969
  4. Step 4: Simplify right side
    84,980x = 18,216,630,961
  5. Step 5: Solve for x
    x = 18,216,630,961/84,980
  6. Step 6: Final answer
    x = 214,363.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.