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Finding the Third Proportional to 66,835 and 143,714

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Solution

The third proportional to 66,835 and 143,714 is: 309,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,835 : 143,714 = 143,714 : x
  2. Step 2: Convert to fraction form
    66,835/143,714 = 143,714/x
  3. Step 3: Cross multiply
    66,835x = 143,714 × 143,714
  4. Step 4: Simplify right side
    66,835x = 20,653,713,796
  5. Step 5: Solve for x
    x = 20,653,713,796/66,835
  6. Step 6: Final answer
    x = 309,025.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.