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Finding the Third Proportional to 141,607 and 197,989

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Solution

The third proportional to 141,607 and 197,989 is: 276,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,607 : 197,989 = 197,989 : x
  2. Step 2: Convert to fraction form
    141,607/197,989 = 197,989/x
  3. Step 3: Cross multiply
    141,607x = 197,989 × 197,989
  4. Step 4: Simplify right side
    141,607x = 39,199,644,121
  5. Step 5: Solve for x
    x = 39,199,644,121/141,607
  6. Step 6: Final answer
    x = 276,819.96

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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.