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Finding the Third Proportional to 27,740 and 42,638

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Solution

The third proportional to 27,740 and 42,638 is: 65,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740 : 42,638 = 42,638 : x
  2. Step 2: Convert to fraction form
    27,740/42,638 = 42,638/x
  3. Step 3: Cross multiply
    27,740x = 42,638 × 42,638
  4. Step 4: Simplify right side
    27,740x = 1,817,999,044
  5. Step 5: Solve for x
    x = 1,817,999,044/27,740
  6. Step 6: Final answer
    x = 65,537.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.