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Finding the Third Proportional to 66,634 and 145,296

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Solution

The third proportional to 66,634 and 145,296 is: 316,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,634 : 145,296 = 145,296 : x
  2. Step 2: Convert to fraction form
    66,634/145,296 = 145,296/x
  3. Step 3: Cross multiply
    66,634x = 145,296 × 145,296
  4. Step 4: Simplify right side
    66,634x = 21,110,927,616
  5. Step 5: Solve for x
    x = 21,110,927,616/66,634
  6. Step 6: Final answer
    x = 316,819.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.