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Finding the Third Proportional to 64,829 and 143,266

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Solution

The third proportional to 64,829 and 143,266 is: 316,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,829 : 143,266 = 143,266 : x
  2. Step 2: Convert to fraction form
    64,829/143,266 = 143,266/x
  3. Step 3: Cross multiply
    64,829x = 143,266 × 143,266
  4. Step 4: Simplify right side
    64,829x = 20,525,146,756
  5. Step 5: Solve for x
    x = 20,525,146,756/64,829
  6. Step 6: Final answer
    x = 316,604.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.