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Finding the Third Proportional to 141,642 and 198,018

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Solution

The third proportional to 141,642 and 198,018 is: 276,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,642 : 198,018 = 198,018 : x
  2. Step 2: Convert to fraction form
    141,642/198,018 = 198,018/x
  3. Step 3: Cross multiply
    141,642x = 198,018 × 198,018
  4. Step 4: Simplify right side
    141,642x = 39,211,128,324
  5. Step 5: Solve for x
    x = 39,211,128,324/141,642
  6. Step 6: Final answer
    x = 276,832.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.