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Finding the Third Proportional to 66,640 and 141,910

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Solution

The third proportional to 66,640 and 141,910 is: 302,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,640 : 141,910 = 141,910 : x
  2. Step 2: Convert to fraction form
    66,640/141,910 = 141,910/x
  3. Step 3: Cross multiply
    66,640x = 141,910 × 141,910
  4. Step 4: Simplify right side
    66,640x = 20,138,448,100
  5. Step 5: Solve for x
    x = 20,138,448,100/66,640
  6. Step 6: Final answer
    x = 302,197.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.