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Finding the Third Proportional to 56,066 and 66,306

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Solution

The third proportional to 56,066 and 66,306 is: 78,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,066 : 66,306 = 66,306 : x
  2. Step 2: Convert to fraction form
    56,066/66,306 = 66,306/x
  3. Step 3: Cross multiply
    56,066x = 66,306 × 66,306
  4. Step 4: Simplify right side
    56,066x = 4,396,485,636
  5. Step 5: Solve for x
    x = 4,396,485,636/56,066
  6. Step 6: Final answer
    x = 78,416.25

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.