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Finding the Third Proportional to 66,300.75 and 136,428.75

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Solution

The third proportional to 66,300.75 and 136,428.75 is: 280,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,300.75 : 136,428.75 = 136,428.75 : x
  2. Step 2: Convert to fraction form
    66,300.75/136,428.75 = 136,428.75/x
  3. Step 3: Cross multiply
    66,300.75x = 136,428.75 × 136,428.75
  4. Step 4: Simplify right side
    66,300.75x = 18,612,803,826.56
  5. Step 5: Solve for x
    x = 18,612,803,826.56/66,300.75
  6. Step 6: Final answer
    x = 280,732.93

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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.