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Finding the Third Proportional to 20,459 and 27,772

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Solution

The third proportional to 20,459 and 27,772 is: 37,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,459 : 27,772 = 27,772 : x
  2. Step 2: Convert to fraction form
    20,459/27,772 = 27,772/x
  3. Step 3: Cross multiply
    20,459x = 27,772 × 27,772
  4. Step 4: Simplify right side
    20,459x = 771,283,984
  5. Step 5: Solve for x
    x = 771,283,984/20,459
  6. Step 6: Final answer
    x = 37,699.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.