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Finding the Third Proportional to 311,949 and 465,840

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Solution

The third proportional to 311,949 and 465,840 is: 695,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,949 : 465,840 = 465,840 : x
  2. Step 2: Convert to fraction form
    311,949/465,840 = 465,840/x
  3. Step 3: Cross multiply
    311,949x = 465,840 × 465,840
  4. Step 4: Simplify right side
    311,949x = 217,006,905,600
  5. Step 5: Solve for x
    x = 217,006,905,600/311,949
  6. Step 6: Final answer
    x = 695,648.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.