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Finding the Third Proportional to 100,610 and 141,003

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Solution

The third proportional to 100,610 and 141,003 is: 197,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,610 : 141,003 = 141,003 : x
  2. Step 2: Convert to fraction form
    100,610/141,003 = 141,003/x
  3. Step 3: Cross multiply
    100,610x = 141,003 × 141,003
  4. Step 4: Simplify right side
    100,610x = 19,881,846,009
  5. Step 5: Solve for x
    x = 19,881,846,009/100,610
  6. Step 6: Final answer
    x = 197,613.02

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