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Finding the Third Proportional to 21,848 and 35,220

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Solution

The third proportional to 21,848 and 35,220 is: 56,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,848 : 35,220 = 35,220 : x
  2. Step 2: Convert to fraction form
    21,848/35,220 = 35,220/x
  3. Step 3: Cross multiply
    21,848x = 35,220 × 35,220
  4. Step 4: Simplify right side
    21,848x = 1,240,448,400
  5. Step 5: Solve for x
    x = 1,240,448,400/21,848
  6. Step 6: Final answer
    x = 56,776.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.