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Finding the Third Proportional to 149,337 and 316,197

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Solution

The third proportional to 149,337 and 316,197 is: 669,496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,337 : 316,197 = 316,197 : x
  2. Step 2: Convert to fraction form
    149,337/316,197 = 316,197/x
  3. Step 3: Cross multiply
    149,337x = 316,197 × 316,197
  4. Step 4: Simplify right side
    149,337x = 99,980,542,809
  5. Step 5: Solve for x
    x = 99,980,542,809/149,337
  6. Step 6: Final answer
    x = 669,496.12

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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.