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Finding the Third Proportional to 81,020 and 122,610

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Solution

The third proportional to 81,020 and 122,610 is: 185,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,020 : 122,610 = 122,610 : x
  2. Step 2: Convert to fraction form
    81,020/122,610 = 122,610/x
  3. Step 3: Cross multiply
    81,020x = 122,610 × 122,610
  4. Step 4: Simplify right side
    81,020x = 15,033,212,100
  5. Step 5: Solve for x
    x = 15,033,212,100/81,020
  6. Step 6: Final answer
    x = 185,549.40

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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.