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Finding the Third Proportional to 149,305.50 and 316,107

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Solution

The third proportional to 149,305.50 and 316,107 is: 669,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,305.50 : 316,107 = 316,107 : x
  2. Step 2: Convert to fraction form
    149,305.50/316,107 = 316,107/x
  3. Step 3: Cross multiply
    149,305.50x = 316,107 × 316,107
  4. Step 4: Simplify right side
    149,305.50x = 99,923,635,449
  5. Step 5: Solve for x
    x = 99,923,635,449/149,305.50
  6. Step 6: Final answer
    x = 669,256.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.