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Finding the Third Proportional to 149,339 and 316,201

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Solution

The third proportional to 149,339 and 316,201 is: 669,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,339 : 316,201 = 316,201 : x
  2. Step 2: Convert to fraction form
    149,339/316,201 = 316,201/x
  3. Step 3: Cross multiply
    149,339x = 316,201 × 316,201
  4. Step 4: Simplify right side
    149,339x = 99,983,072,401
  5. Step 5: Solve for x
    x = 99,983,072,401/149,339
  6. Step 6: Final answer
    x = 669,504.10

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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.