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Finding the Third Proportional to 68,489 and 100,887

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Solution

The third proportional to 68,489 and 100,887 is: 148,610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,489 : 100,887 = 100,887 : x
  2. Step 2: Convert to fraction form
    68,489/100,887 = 100,887/x
  3. Step 3: Cross multiply
    68,489x = 100,887 × 100,887
  4. Step 4: Simplify right side
    68,489x = 10,178,186,769
  5. Step 5: Solve for x
    x = 10,178,186,769/68,489
  6. Step 6: Final answer
    x = 148,610.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.