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Finding the Third Proportional to 66,098 and 137,666

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Solution

The third proportional to 66,098 and 137,666 is: 286,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,098 : 137,666 = 137,666 : x
  2. Step 2: Convert to fraction form
    66,098/137,666 = 137,666/x
  3. Step 3: Cross multiply
    66,098x = 137,666 × 137,666
  4. Step 4: Simplify right side
    66,098x = 18,951,927,556
  5. Step 5: Solve for x
    x = 18,951,927,556/66,098
  6. Step 6: Final answer
    x = 286,724.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.