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Finding the Third Proportional to 66,645.75 and 140,784

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Solution

The third proportional to 66,645.75 and 140,784 is: 297,395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,645.75 : 140,784 = 140,784 : x
  2. Step 2: Convert to fraction form
    66,645.75/140,784 = 140,784/x
  3. Step 3: Cross multiply
    66,645.75x = 140,784 × 140,784
  4. Step 4: Simplify right side
    66,645.75x = 19,820,134,656
  5. Step 5: Solve for x
    x = 19,820,134,656/66,645.75
  6. Step 6: Final answer
    x = 297,395.33

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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.