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Finding the Third Proportional to 216,522 and 311,890

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Solution

The third proportional to 216,522 and 311,890 is: 449,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,522 : 311,890 = 311,890 : x
  2. Step 2: Convert to fraction form
    216,522/311,890 = 311,890/x
  3. Step 3: Cross multiply
    216,522x = 311,890 × 311,890
  4. Step 4: Simplify right side
    216,522x = 97,275,372,100
  5. Step 5: Solve for x
    x = 97,275,372,100/216,522
  6. Step 6: Final answer
    x = 449,263.23

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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.