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Finding the Third Proportional to 61,020 and 125,805

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Solution

The third proportional to 61,020 and 125,805 is: 259,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,020 : 125,805 = 125,805 : x
  2. Step 2: Convert to fraction form
    61,020/125,805 = 125,805/x
  3. Step 3: Cross multiply
    61,020x = 125,805 × 125,805
  4. Step 4: Simplify right side
    61,020x = 15,826,898,025
  5. Step 5: Solve for x
    x = 15,826,898,025/61,020
  6. Step 6: Final answer
    x = 259,372.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.