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Finding the Third Proportional to 27,780 and 39,699

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Solution

The third proportional to 27,780 and 39,699 is: 56,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780 : 39,699 = 39,699 : x
  2. Step 2: Convert to fraction form
    27,780/39,699 = 39,699/x
  3. Step 3: Cross multiply
    27,780x = 39,699 × 39,699
  4. Step 4: Simplify right side
    27,780x = 1,576,010,601
  5. Step 5: Solve for x
    x = 1,576,010,601/27,780
  6. Step 6: Final answer
    x = 56,731.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.