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Finding the Third Proportional to 66,742 and 118,644

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Solution

The third proportional to 66,742 and 118,644 is: 210,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,742 : 118,644 = 118,644 : x
  2. Step 2: Convert to fraction form
    66,742/118,644 = 118,644/x
  3. Step 3: Cross multiply
    66,742x = 118,644 × 118,644
  4. Step 4: Simplify right side
    66,742x = 14,076,398,736
  5. Step 5: Solve for x
    x = 14,076,398,736/66,742
  6. Step 6: Final answer
    x = 210,907.66

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.