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Finding the Third Proportional to 66,226 and 143,740

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Solution

The third proportional to 66,226 and 143,740 is: 311,980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,226 : 143,740 = 143,740 : x
  2. Step 2: Convert to fraction form
    66,226/143,740 = 143,740/x
  3. Step 3: Cross multiply
    66,226x = 143,740 × 143,740
  4. Step 4: Simplify right side
    66,226x = 20,661,187,600
  5. Step 5: Solve for x
    x = 20,661,187,600/66,226
  6. Step 6: Final answer
    x = 311,980.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.