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Finding the Third Proportional to 101,457 and 216,990

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Solution

The third proportional to 101,457 and 216,990 is: 464,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,457 : 216,990 = 216,990 : x
  2. Step 2: Convert to fraction form
    101,457/216,990 = 216,990/x
  3. Step 3: Cross multiply
    101,457x = 216,990 × 216,990
  4. Step 4: Simplify right side
    101,457x = 47,084,660,100
  5. Step 5: Solve for x
    x = 47,084,660,100/101,457
  6. Step 6: Final answer
    x = 464,084.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.