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Finding the Third Proportional to 27,640 and 42,537

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Solution

The third proportional to 27,640 and 42,537 is: 65,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,640 : 42,537 = 42,537 : x
  2. Step 2: Convert to fraction form
    27,640/42,537 = 42,537/x
  3. Step 3: Cross multiply
    27,640x = 42,537 × 42,537
  4. Step 4: Simplify right side
    27,640x = 1,809,396,369
  5. Step 5: Solve for x
    x = 1,809,396,369/27,640
  6. Step 6: Final answer
    x = 65,462.97

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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.