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Finding the Third Proportional to 149,440 and 311,552

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Solution

The third proportional to 149,440 and 311,552 is: 649,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,440 : 311,552 = 311,552 : x
  2. Step 2: Convert to fraction form
    149,440/311,552 = 311,552/x
  3. Step 3: Cross multiply
    149,440x = 311,552 × 311,552
  4. Step 4: Simplify right side
    149,440x = 97,064,648,704
  5. Step 5: Solve for x
    x = 97,064,648,704/149,440
  6. Step 6: Final answer
    x = 649,522.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.