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Finding the Third Proportional to 66,672 and 141,816

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Solution

The third proportional to 66,672 and 141,816 is: 301,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,672 : 141,816 = 141,816 : x
  2. Step 2: Convert to fraction form
    66,672/141,816 = 141,816/x
  3. Step 3: Cross multiply
    66,672x = 141,816 × 141,816
  4. Step 4: Simplify right side
    66,672x = 20,111,777,856
  5. Step 5: Solve for x
    x = 20,111,777,856/66,672
  6. Step 6: Final answer
    x = 301,652.54

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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.