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Finding the Third Proportional to 27,700 and 39,578

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Solution

The third proportional to 27,700 and 39,578 is: 56,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700 : 39,578 = 39,578 : x
  2. Step 2: Convert to fraction form
    27,700/39,578 = 39,578/x
  3. Step 3: Cross multiply
    27,700x = 39,578 × 39,578
  4. Step 4: Simplify right side
    27,700x = 1,566,418,084
  5. Step 5: Solve for x
    x = 1,566,418,084/27,700
  6. Step 6: Final answer
    x = 56,549.39

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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.