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Finding the Third Proportional to 101,455 and 216,980

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Solution

The third proportional to 101,455 and 216,980 is: 464,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,455 : 216,980 = 216,980 : x
  2. Step 2: Convert to fraction form
    101,455/216,980 = 216,980/x
  3. Step 3: Cross multiply
    101,455x = 216,980 × 216,980
  4. Step 4: Simplify right side
    101,455x = 47,080,320,400
  5. Step 5: Solve for x
    x = 47,080,320,400/101,455
  6. Step 6: Final answer
    x = 464,051.26

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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.