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Finding the Third Proportional to 216,520 and 311,887

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Solution

The third proportional to 216,520 and 311,887 is: 449,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,520 : 311,887 = 311,887 : x
  2. Step 2: Convert to fraction form
    216,520/311,887 = 311,887/x
  3. Step 3: Cross multiply
    216,520x = 311,887 × 311,887
  4. Step 4: Simplify right side
    216,520x = 97,273,500,769
  5. Step 5: Solve for x
    x = 97,273,500,769/216,520
  6. Step 6: Final answer
    x = 449,258.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.