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Finding the Third Proportional to 21,485 and 47,578

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Solution

The third proportional to 21,485 and 47,578 is: 105,360.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,485 : 47,578 = 47,578 : x
  2. Step 2: Convert to fraction form
    21,485/47,578 = 47,578/x
  3. Step 3: Cross multiply
    21,485x = 47,578 × 47,578
  4. Step 4: Simplify right side
    21,485x = 2,263,666,084
  5. Step 5: Solve for x
    x = 2,263,666,084/21,485
  6. Step 6: Final answer
    x = 105,360.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.