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Finding the Third Proportional to 101,571 and 215,430

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Solution

The third proportional to 101,571 and 215,430 is: 456,922.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,571 : 215,430 = 215,430 : x
  2. Step 2: Convert to fraction form
    101,571/215,430 = 215,430/x
  3. Step 3: Cross multiply
    101,571x = 215,430 × 215,430
  4. Step 4: Simplify right side
    101,571x = 46,410,084,900
  5. Step 5: Solve for x
    x = 46,410,084,900/101,571
  6. Step 6: Final answer
    x = 456,922.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.