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Finding the Third Proportional to 61,098 and 91,809

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Solution

The third proportional to 61,098 and 91,809 is: 137,956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,098 : 91,809 = 91,809 : x
  2. Step 2: Convert to fraction form
    61,098/91,809 = 91,809/x
  3. Step 3: Cross multiply
    61,098x = 91,809 × 91,809
  4. Step 4: Simplify right side
    61,098x = 8,428,892,481
  5. Step 5: Solve for x
    x = 8,428,892,481/61,098
  6. Step 6: Final answer
    x = 137,956.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.