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Finding the Third Proportional to 66,539 and 143,739.50

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Solution

The third proportional to 66,539 and 143,739.50 is: 310,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,539 : 143,739.50 = 143,739.50 : x
  2. Step 2: Convert to fraction form
    66,539/143,739.50 = 143,739.50/x
  3. Step 3: Cross multiply
    66,539x = 143,739.50 × 143,739.50
  4. Step 4: Simplify right side
    66,539x = 20,661,043,860.25
  5. Step 5: Solve for x
    x = 20,661,043,860.25/66,539
  6. Step 6: Final answer
    x = 310,510.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.