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Finding the Third Proportional to 66,990 and 145,644

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Solution

The third proportional to 66,990 and 145,644 is: 316,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,990 : 145,644 = 145,644 : x
  2. Step 2: Convert to fraction form
    66,990/145,644 = 145,644/x
  3. Step 3: Cross multiply
    66,990x = 145,644 × 145,644
  4. Step 4: Simplify right side
    66,990x = 21,212,174,736
  5. Step 5: Solve for x
    x = 21,212,174,736/66,990
  6. Step 6: Final answer
    x = 316,646.88

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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.