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Finding the Third Proportional to 84,980 and 135,010

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Solution

The third proportional to 84,980 and 135,010 is: 214,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,980 : 135,010 = 135,010 : x
  2. Step 2: Convert to fraction form
    84,980/135,010 = 135,010/x
  3. Step 3: Cross multiply
    84,980x = 135,010 × 135,010
  4. Step 4: Simplify right side
    84,980x = 18,227,700,100
  5. Step 5: Solve for x
    x = 18,227,700,100/84,980
  6. Step 6: Final answer
    x = 214,494.00

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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.