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Finding the Third Proportional to 27,729 and 42,621

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Solution

The third proportional to 27,729 and 42,621 is: 65,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,729 : 42,621 = 42,621 : x
  2. Step 2: Convert to fraction form
    27,729/42,621 = 42,621/x
  3. Step 3: Cross multiply
    27,729x = 42,621 × 42,621
  4. Step 4: Simplify right side
    27,729x = 1,816,549,641
  5. Step 5: Solve for x
    x = 1,816,549,641/27,729
  6. Step 6: Final answer
    x = 65,510.82

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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.