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Finding the Third Proportional to 100,610.25 and 141,014.25

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Solution

The third proportional to 100,610.25 and 141,014.25 is: 197,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,610.25 : 141,014.25 = 141,014.25 : x
  2. Step 2: Convert to fraction form
    100,610.25/141,014.25 = 141,014.25/x
  3. Step 3: Cross multiply
    100,610.25x = 141,014.25 × 141,014.25
  4. Step 4: Simplify right side
    100,610.25x = 19,885,018,703.06
  5. Step 5: Solve for x
    x = 19,885,018,703.06/100,610.25
  6. Step 6: Final answer
    x = 197,644.06

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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.