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Finding the Third Proportional to 66,809 and 102,733.50

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Solution

The third proportional to 66,809 and 102,733.50 is: 157,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,809 : 102,733.50 = 102,733.50 : x
  2. Step 2: Convert to fraction form
    66,809/102,733.50 = 102,733.50/x
  3. Step 3: Cross multiply
    66,809x = 102,733.50 × 102,733.50
  4. Step 4: Simplify right side
    66,809x = 10,554,172,022.25
  5. Step 5: Solve for x
    x = 10,554,172,022.25/66,809
  6. Step 6: Final answer
    x = 157,975.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.