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Finding the Third Proportional to 216,270 and 464,505

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Solution

The third proportional to 216,270 and 464,505 is: 997,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,270 : 464,505 = 464,505 : x
  2. Step 2: Convert to fraction form
    216,270/464,505 = 464,505/x
  3. Step 3: Cross multiply
    216,270x = 464,505 × 464,505
  4. Step 4: Simplify right side
    216,270x = 215,764,895,025
  5. Step 5: Solve for x
    x = 215,764,895,025/216,270
  6. Step 6: Final answer
    x = 997,664.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.