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Finding the Third Proportional to 66,655 and 140,804

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Solution

The third proportional to 66,655 and 140,804 is: 297,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,655 : 140,804 = 140,804 : x
  2. Step 2: Convert to fraction form
    66,655/140,804 = 140,804/x
  3. Step 3: Cross multiply
    66,655x = 140,804 × 140,804
  4. Step 4: Simplify right side
    66,655x = 19,825,766,416
  5. Step 5: Solve for x
    x = 19,825,766,416/66,655
  6. Step 6: Final answer
    x = 297,438.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.